Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Advances in Quantum Mechanics [[electronic resource] ] : Contemporary Trends and Open Problems / / edited by Alessandro Michelangeli, Gianfausto Dell'Antonio
| Advances in Quantum Mechanics [[electronic resource] ] : Contemporary Trends and Open Problems / / edited by Alessandro Michelangeli, Gianfausto Dell'Antonio |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (292 pages) |
| Disciplina | 530.12 |
| Collana | Springer INdAM Series |
| Soggetto topico |
Functional analysis
Mathematical physics Operator theory Applied mathematics Engineering mathematics Functional Analysis Mathematical Physics Operator Theory Theoretical, Mathematical and Computational Physics Applications of Mathematics |
| ISBN | 3-319-58904-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Shell interactions for Dirac operators -- 2 Correlation inequalities for classical and quantum XY models -- 3 Dissipatively generated entanglement -- 4 Abelian gauge potentials on cubic lattices -- 5 Relative-Zeta and Casimir energy for a semitransparent hyperplane selecting transverse modes -- 6 Analysis of fluctuations around non-linear effective dynamics -- 7 Logarithmic Sobolev inequalities for an ideal Bose gas -- 8 Spherical Schrödinger Hamiltonians: spectral analysis and time decay -- 9 On the Ground state for the NLS equation on a general graph -- 10 Self-adjoint extensions of the Dirac operator with Coulomb potential -- 11 Dispersive estimates for Schrödinger operators with point interactions in R3 -- 12 Chern and Fu–Kane–Mele invariants as topological obstructions -- 13 Norm approximation for many-body quantum dynamics and Bogoliubov theory -- 14 Effective non-linear dynamics of binary condensates and open problems -- 15 Remarks on the derivation of the Gross-Pitaevskii equation with magnetic Laplacian -- 16 On the inverse spectral problems for quantum graphs -- 17 Double-barrier resonances and time decay of the survival probability: a toy model. |
| Record Nr. | UNINA-9910254299503321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Inverse linear problems on a Hilbert space and their Krylov solvability / / Noè Angelo Caruso, Alessandro Michelangeli
| Inverse linear problems on a Hilbert space and their Krylov solvability / / Noè Angelo Caruso, Alessandro Michelangeli |
| Autore | Noè Angelo Caruso |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (150 pages) |
| Disciplina | 515.357 |
| Collana | Springer Monographs in Mathematics |
| Soggetto topico |
Hilbert space
Problemes inversos (Equacions diferencials) Espais de Hilbert Operadors lineals |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-88159-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Acronyms -- Chapter 1 Introduction and motivation -- 1.1 Abstract inverse linear problems on Hilbert space -- 1.2 General truncation and approximation scheme -- 1.3 Krylov subspace and Krylov solvability -- 1.4 Structure of the book -- Chapter 2 Krylov solvability of bounded linear inverse problems -- 2.1 Krylov subspace of a Hilbert space -- 2.2 Krylov reducibility and Krylov intersection -- 2.3 Krylov solutions for a bounded linear inverse problem -- 2.3.1 Krylov solvability. Examples. -- 2.3.2 General conditions for Krylov solvability: case of injectivity -- 2.3.3 Krylov reducibility and Krylov solvability -- 2.3.4 More on Krylov solutions in the lack of injectivity -- 2.4 Krylov solvability and self-adjointness -- 2.5 Special classes of Krylov solvable problems -- 2.6 Some illustrative numerical tests -- Chapter 3 An analysis of conjugate-gradient based methods with unbounded operators -- 3.1 Unbounded posi tive self-adjoint inverse problems and conjugate gradient approach -- 3.2 Set-up and main results -- 3.3 Algebraic and measure-theoretic background properties -- 3.4 Proof of CG-convergence and additional observations -- 3.5 Unbounded CG-convergence tested numerically -- Chapter 4 Krylov solvability of unbounded inverse problems -- 4.1 Unbounded setting -- 4.2 The general self-adjoint and skew-adjoint case -- 4.3 New phenomena in the general unbounded case: 'Krylov escape', generalised Krylov reducibility, generalised Krylov intersection -- 4.4 Krylov solvability in the general unbounded case -- 4.5 The self-adjoint case revisited: structural properties. -- 4.6 Remarks on rational Krylov subspaces and solvability of self-adjoint inverse problems -- Chapter 5 Krylov solvability in a perturbative framework -- 5.1 Krylov solvability from a perturbative perspective -- 5.2 Fundamental perturbative questions.
5.3 Gain or loss of Krylov solvability under perturbations -- 5.3.1 Operator perturbations -- 5.3.2 Data perturbations -- 5.3.3 Simultaneous perturbations of operator and data -- 5.4 Krylov solvability along perturbations of K -class -- 5.5 Weak gap-metric for weakly closed parts of the unit ball -- 5.6 Weak gap metric for linear subspaces -- 5.7 Krylov perturbations in the weak gap-metric -- 5.7.1 Some technical features of the vicinity of Krylov subspaces -- 5.7.2 Existence of d_w-limits. Krylov inner approximability. -- 5.7.3 Krylov solvability along d_w-limits -- 5.8 Perspectives on the perturbation framework -- Appendix A Outlook on general projection methods and weaker convergence -- A.1 Standard projection methods and beyond -- A.2 Finite-dimensional truncation -- A.2.1 Set up and notation -- A.2.2 Singularity of the truncated problem -- A.2.3 Convergence of the truncated problems -- A.3 The compact linear inverse problem -- A.4 The bounded linear inverse problem -- A.5 Effects of changing the truncation basis: numerical evidence -- References -- Index. |
| Record Nr. | UNISA-996466545403316 |
Noè Angelo Caruso
|
||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Inverse linear problems on a Hilbert space and their Krylov solvability / / Noè Angelo Caruso, Alessandro Michelangeli
| Inverse linear problems on a Hilbert space and their Krylov solvability / / Noè Angelo Caruso, Alessandro Michelangeli |
| Autore | Noè Angelo Caruso |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (150 pages) |
| Disciplina | 515.357 |
| Collana | Springer Monographs in Mathematics |
| Soggetto topico |
Hilbert space
Problemes inversos (Equacions diferencials) Espais de Hilbert Operadors lineals |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-88159-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Acronyms -- Chapter 1 Introduction and motivation -- 1.1 Abstract inverse linear problems on Hilbert space -- 1.2 General truncation and approximation scheme -- 1.3 Krylov subspace and Krylov solvability -- 1.4 Structure of the book -- Chapter 2 Krylov solvability of bounded linear inverse problems -- 2.1 Krylov subspace of a Hilbert space -- 2.2 Krylov reducibility and Krylov intersection -- 2.3 Krylov solutions for a bounded linear inverse problem -- 2.3.1 Krylov solvability. Examples. -- 2.3.2 General conditions for Krylov solvability: case of injectivity -- 2.3.3 Krylov reducibility and Krylov solvability -- 2.3.4 More on Krylov solutions in the lack of injectivity -- 2.4 Krylov solvability and self-adjointness -- 2.5 Special classes of Krylov solvable problems -- 2.6 Some illustrative numerical tests -- Chapter 3 An analysis of conjugate-gradient based methods with unbounded operators -- 3.1 Unbounded posi tive self-adjoint inverse problems and conjugate gradient approach -- 3.2 Set-up and main results -- 3.3 Algebraic and measure-theoretic background properties -- 3.4 Proof of CG-convergence and additional observations -- 3.5 Unbounded CG-convergence tested numerically -- Chapter 4 Krylov solvability of unbounded inverse problems -- 4.1 Unbounded setting -- 4.2 The general self-adjoint and skew-adjoint case -- 4.3 New phenomena in the general unbounded case: 'Krylov escape', generalised Krylov reducibility, generalised Krylov intersection -- 4.4 Krylov solvability in the general unbounded case -- 4.5 The self-adjoint case revisited: structural properties. -- 4.6 Remarks on rational Krylov subspaces and solvability of self-adjoint inverse problems -- Chapter 5 Krylov solvability in a perturbative framework -- 5.1 Krylov solvability from a perturbative perspective -- 5.2 Fundamental perturbative questions.
5.3 Gain or loss of Krylov solvability under perturbations -- 5.3.1 Operator perturbations -- 5.3.2 Data perturbations -- 5.3.3 Simultaneous perturbations of operator and data -- 5.4 Krylov solvability along perturbations of K -class -- 5.5 Weak gap-metric for weakly closed parts of the unit ball -- 5.6 Weak gap metric for linear subspaces -- 5.7 Krylov perturbations in the weak gap-metric -- 5.7.1 Some technical features of the vicinity of Krylov subspaces -- 5.7.2 Existence of d_w-limits. Krylov inner approximability. -- 5.7.3 Krylov solvability along d_w-limits -- 5.8 Perspectives on the perturbation framework -- Appendix A Outlook on general projection methods and weaker convergence -- A.1 Standard projection methods and beyond -- A.2 Finite-dimensional truncation -- A.2.1 Set up and notation -- A.2.2 Singularity of the truncated problem -- A.2.3 Convergence of the truncated problems -- A.3 The compact linear inverse problem -- A.4 The bounded linear inverse problem -- A.5 Effects of changing the truncation basis: numerical evidence -- References -- Index. |
| Record Nr. | UNINA-9910544877303321 |
|
Noè Angelo Caruso
|
||
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical challenges of zero-range physics : models, methods, rigorous results, open problems / / Alessandro Michelangeli, editor
| Mathematical challenges of zero-range physics : models, methods, rigorous results, open problems / / Alessandro Michelangeli, editor |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (VIII, 329 p. 16 illus., 9 illus. in color.) |
| Disciplina | 530.15 |
| Collana | Springer INdAM Series |
| Soggetto topico | Mathematical physics |
| ISBN | 3-030-60453-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Iori, M. et al., Thermodynamic properties of ultracold Fermi gases across the BCS–BEC crossover and the Bertsch problem -- 2. Cacciapuoti, C., et al., Scattering theory for delta-potentials supported by locally deformed planes -- 3. Schmidt, J., The Massless Nelson Hamiltonian and its Domain -- 4. Borrelli, W. et al., A note on the Dirac operator with Kirchoff-type vertex conditions on metric graphs -- 5. Ourmières-Bonafos, T., Dirac operators and shell interactions: a survey -- 6. Lampart, J., Ultraviolet properties of a polaron model with point interactions and a number cutoff -- 7. Scandone, R., Zero modes and low-energy resolvent expansion for three dimensional Schrödinger operators with point interactions -- 8. Ottolini, A., Spectral properties of point interactions with fermionic symmetries -- 9. Akbas, H. and Teoman Turgut, O., Oppenheimer Type Approximation for a Simple Renormalizable System -- 10. Lotoreichik, V., Spectral isoperimetric inequality for the δ’-interaction on a contour -- 11. Pozzoli, E., Quantum confinement in Grushin-type manifolds -- 12. Gallone, M. et al., Kreın-Višik-Birman self-adjoint extension theory revisited -- 13. Khotyakov, M. and Michelangeli, A., Translation and adaptation from Russian of M. Sh. Birman On the theory of selfadjoint extensions of positive definite operators Math. Sb. 28 (1956), 431-450 (1956). |
| Record Nr. | UNINA-9910483569103321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical challenges of zero-range physics : models, methods, rigorous results, open problems / / Alessandro Michelangeli, editor
| Mathematical challenges of zero-range physics : models, methods, rigorous results, open problems / / Alessandro Michelangeli, editor |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (VIII, 329 p. 16 illus., 9 illus. in color.) |
| Disciplina | 530.15 |
| Collana | Springer INdAM Series |
| Soggetto topico | Mathematical physics |
| ISBN | 3-030-60453-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Iori, M. et al., Thermodynamic properties of ultracold Fermi gases across the BCS–BEC crossover and the Bertsch problem -- 2. Cacciapuoti, C., et al., Scattering theory for delta-potentials supported by locally deformed planes -- 3. Schmidt, J., The Massless Nelson Hamiltonian and its Domain -- 4. Borrelli, W. et al., A note on the Dirac operator with Kirchoff-type vertex conditions on metric graphs -- 5. Ourmières-Bonafos, T., Dirac operators and shell interactions: a survey -- 6. Lampart, J., Ultraviolet properties of a polaron model with point interactions and a number cutoff -- 7. Scandone, R., Zero modes and low-energy resolvent expansion for three dimensional Schrödinger operators with point interactions -- 8. Ottolini, A., Spectral properties of point interactions with fermionic symmetries -- 9. Akbas, H. and Teoman Turgut, O., Oppenheimer Type Approximation for a Simple Renormalizable System -- 10. Lotoreichik, V., Spectral isoperimetric inequality for the δ’-interaction on a contour -- 11. Pozzoli, E., Quantum confinement in Grushin-type manifolds -- 12. Gallone, M. et al., Kreın-Višik-Birman self-adjoint extension theory revisited -- 13. Khotyakov, M. and Michelangeli, A., Translation and adaptation from Russian of M. Sh. Birman On the theory of selfadjoint extensions of positive definite operators Math. Sb. 28 (1956), 431-450 (1956). |
| Record Nr. | UNISA-996466551303316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Qualitative properties of dispersive PDEs / / Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone, editors
| Qualitative properties of dispersive PDEs / / Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone, editors |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (246 pages) |
| Disciplina | 515.35 |
| Collana | Springer INdAM series |
| Soggetto topico |
Differential equations
Functional analysis |
| ISBN | 981-19-6434-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Organization -- Program Chairs -- Contents -- About the Editors -- Part I Long-Time Behavior of NLS-Type Equations -- A Note on Small Data Soliton Selection for Nonlinear Schrödinger Equations with Potential -- 1 Introduction -- 2 The Proof -- 2.1 Estimate of the Continuous Variable η -- 2.2 Estimate of Discrete Variables -- References -- Dynamics of Solutions to the Gross-Pitaevskii Equation Describing Dipolar Bose-Einstein Condensates -- 1 Introduction -- 1.1 Background -- 1.2 Main Results -- 1.2.1 Dynamics Below the Threshold -- 1.2.2 Dynamics Above the Threshold -- 1.2.3 Dynamics at the Threshold -- 2 Decay for Powers of Riesz Transforms and Virial Arguments -- 2.1 Integral Estimates for R4j -- 2.2 Point-Wise Estimates for R2j -- 2.3 Virial Identities -- 3 Sketch of the Proofs Below the Threshold -- 3.1 Scattering -- 3.2 Blow-up -- 3.3 Grow-up -- 4 Sketch of the Proofs Above the Threshold -- 5 Sketch of the Proofs at the Threshold -- References -- Part II Probabilistic and Nonstandard Methods in the Study of NLS Equations -- Almost Sure Pointwise Convergence of the Cubic Nonlinear Schrödinger Equation on T2 -- 1 Introduction -- 1.1 Notations and Terminology -- 2 Proof of Theorem 1 -- 2.1 Proof of Theorem 1 -- 3 Proof of Proposition 1 -- 3.1 Proof of Proposition 1 -- 4 Proof of Theorem 2 -- 4.1 Proof of Theorem 2 -- 4.2 Proof of Proposition 3 -- References -- Nonlinear Schrödinger Equation with Singularities -- 1 Introduction -- 2 The Colombeau Algebra -- 2.1 Notion of Colombeau Solution -- 2.2 Compatibility -- 3 Existence and Uniqueness of a Singular Solution -- 4 Convergence Properties -- References -- Part III Dispersive Properties -- Schrödinger Flow's Dispersive Estimates in a Regime of Re-scaled Potentials -- 1 Introduction and Background -- 2 A Preliminary Overview of Relevant Spectral Properties.
3 Dispersive Estimates with -Uniform Bound -- 4 Outlook on Further Scaling Regimes -- References -- Dispersive Estimates for the Dirac-Coulomb Equation -- 1 Introduction -- 1.1 The Setup: Partial Wave Decomposition, Spectral Theory, and the Hankel Transform Method -- 2 Dispersive Estimates -- 2.1 Local Smoothing -- 2.2 Strichartz Estimates with Loss of Angular Derivatives -- 2.3 Open Problems and Related Models -- References -- Heat Equation with Inverse-Square Potential of Bridging Type Across Two Half-Lines -- 1 Introduction: The Bridging-Heat Equation in 1D -- 2 A Concise Review of Geometric Confinement and Transmission Protocols in a Grushin Cylinder -- 3 Related Settings: Grushin Planes and Almost-Riemannian Manifolds -- 4 A Numerical Glance at the Bridging-Heat Evolution -- References -- Part IV Wave- and KdV-Type Equations -- On the Cauchy Problem for Quasi-Linear Hamiltonian KdV-Type Equations -- 1 Introduction -- 2 Paradifferential Calculus -- 3 Paralinearization -- 4 Linear Local Well-Posedness -- 5 Nonlinear Local Well-Posedness -- References -- Quasilinear Wave Equations with Decaying Time-Potential -- 1 Introduction -- 2 Quasilinear Wave Equations -- 2.1 Statement of the Main Results -- 2.2 Proof of Theorem 1 -- 2.3 Proof of Theorem 2 -- 3 Applications -- 4 An Existence Result -- References -- Hamiltonian Field Theory Close to the Wave Equation: From Fermi-Pasta-Ulam to Water Waves -- 1 Introduction -- 2 Outline of the Method and Results -- 2.1 Hamiltonian Field Theory -- 2.2 Results: Informal Presentation -- 3 Abstract Setting: Perturbation Theory in Poisson Systems -- 3.1 Poisson Formalism -- 3.2 Perturbation Theory -- 4 Hamiltonian Field Theory Close to qtt=qxx -- 4.1 Traveling Waves -- 4.2 The Generic Case -- 4.3 The Mechanical Case -- 5 Applications -- 5.1 The Fermi-Pasta-Ulam Problem -- 5.2 Water Waves. 6 Conclusions and Open Problems -- References -- Author Index. |
| Record Nr. | UNISA-996503552103316 |
| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Qualitative properties of dispersive PDEs / / Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone, editors
| Qualitative properties of dispersive PDEs / / Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone, editors |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (246 pages) |
| Disciplina | 515.35 |
| Collana | Springer INdAM series |
| Soggetto topico |
Differential equations
Functional analysis |
| ISBN | 981-19-6434-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Organization -- Program Chairs -- Contents -- About the Editors -- Part I Long-Time Behavior of NLS-Type Equations -- A Note on Small Data Soliton Selection for Nonlinear Schrödinger Equations with Potential -- 1 Introduction -- 2 The Proof -- 2.1 Estimate of the Continuous Variable η -- 2.2 Estimate of Discrete Variables -- References -- Dynamics of Solutions to the Gross-Pitaevskii Equation Describing Dipolar Bose-Einstein Condensates -- 1 Introduction -- 1.1 Background -- 1.2 Main Results -- 1.2.1 Dynamics Below the Threshold -- 1.2.2 Dynamics Above the Threshold -- 1.2.3 Dynamics at the Threshold -- 2 Decay for Powers of Riesz Transforms and Virial Arguments -- 2.1 Integral Estimates for R4j -- 2.2 Point-Wise Estimates for R2j -- 2.3 Virial Identities -- 3 Sketch of the Proofs Below the Threshold -- 3.1 Scattering -- 3.2 Blow-up -- 3.3 Grow-up -- 4 Sketch of the Proofs Above the Threshold -- 5 Sketch of the Proofs at the Threshold -- References -- Part II Probabilistic and Nonstandard Methods in the Study of NLS Equations -- Almost Sure Pointwise Convergence of the Cubic Nonlinear Schrödinger Equation on T2 -- 1 Introduction -- 1.1 Notations and Terminology -- 2 Proof of Theorem 1 -- 2.1 Proof of Theorem 1 -- 3 Proof of Proposition 1 -- 3.1 Proof of Proposition 1 -- 4 Proof of Theorem 2 -- 4.1 Proof of Theorem 2 -- 4.2 Proof of Proposition 3 -- References -- Nonlinear Schrödinger Equation with Singularities -- 1 Introduction -- 2 The Colombeau Algebra -- 2.1 Notion of Colombeau Solution -- 2.2 Compatibility -- 3 Existence and Uniqueness of a Singular Solution -- 4 Convergence Properties -- References -- Part III Dispersive Properties -- Schrödinger Flow's Dispersive Estimates in a Regime of Re-scaled Potentials -- 1 Introduction and Background -- 2 A Preliminary Overview of Relevant Spectral Properties.
3 Dispersive Estimates with -Uniform Bound -- 4 Outlook on Further Scaling Regimes -- References -- Dispersive Estimates for the Dirac-Coulomb Equation -- 1 Introduction -- 1.1 The Setup: Partial Wave Decomposition, Spectral Theory, and the Hankel Transform Method -- 2 Dispersive Estimates -- 2.1 Local Smoothing -- 2.2 Strichartz Estimates with Loss of Angular Derivatives -- 2.3 Open Problems and Related Models -- References -- Heat Equation with Inverse-Square Potential of Bridging Type Across Two Half-Lines -- 1 Introduction: The Bridging-Heat Equation in 1D -- 2 A Concise Review of Geometric Confinement and Transmission Protocols in a Grushin Cylinder -- 3 Related Settings: Grushin Planes and Almost-Riemannian Manifolds -- 4 A Numerical Glance at the Bridging-Heat Evolution -- References -- Part IV Wave- and KdV-Type Equations -- On the Cauchy Problem for Quasi-Linear Hamiltonian KdV-Type Equations -- 1 Introduction -- 2 Paradifferential Calculus -- 3 Paralinearization -- 4 Linear Local Well-Posedness -- 5 Nonlinear Local Well-Posedness -- References -- Quasilinear Wave Equations with Decaying Time-Potential -- 1 Introduction -- 2 Quasilinear Wave Equations -- 2.1 Statement of the Main Results -- 2.2 Proof of Theorem 1 -- 2.3 Proof of Theorem 2 -- 3 Applications -- 4 An Existence Result -- References -- Hamiltonian Field Theory Close to the Wave Equation: From Fermi-Pasta-Ulam to Water Waves -- 1 Introduction -- 2 Outline of the Method and Results -- 2.1 Hamiltonian Field Theory -- 2.2 Results: Informal Presentation -- 3 Abstract Setting: Perturbation Theory in Poisson Systems -- 3.1 Poisson Formalism -- 3.2 Perturbation Theory -- 4 Hamiltonian Field Theory Close to qtt=qxx -- 4.1 Traveling Waves -- 4.2 The Generic Case -- 4.3 The Mechanical Case -- 5 Applications -- 5.1 The Fermi-Pasta-Ulam Problem -- 5.2 Water Waves. 6 Conclusions and Open Problems -- References -- Author Index. |
| Record Nr. | UNINA-9910633918803321 |
| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians / / Matteo Gallone and Alessandro Michelangeli ; foreword by Sergio Albeverio
| Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians / / Matteo Gallone and Alessandro Michelangeli ; foreword by Sergio Albeverio |
| Autore | Gallone Matteo |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] |
| Descrizione fisica | 1 online resource (557 pages) |
| Disciplina | 530.15 |
| Collana | Springer Monographs in Mathematics Series |
| Soggetto topico |
Mathematical physics
Mathematical analysis |
| ISBN |
9783031108853
9783031108846 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910686787203321 |
|
Gallone Matteo
|
||
| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Trails in Modern Theoretical and Mathematical Physics : A Volume in Tribute to Giovanni Morchio / / Andrea Cintio and Alessandro Michelangeli, editors
| Trails in Modern Theoretical and Mathematical Physics : A Volume in Tribute to Giovanni Morchio / / Andrea Cintio and Alessandro Michelangeli, editors |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] |
| Descrizione fisica | 1 online resource (XIII, 320 p. 15 illus., 10 illus. in color.) |
| Disciplina | 530 |
| Soggetto topico | Physics |
| ISBN | 3-031-44988-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A. Introduction: "Giovanni Morchio and his role as a Physicist, Mathematician, Teacher ,Scientist" -- B. Scientific Part -- Euclidean Quantum Field Theory: A Modern Mathematical Retrospective -- Deformed Cannonical Commutation Relations and Weak Eigenstates of Number-Like Operators -- Grassmannian and Chiral Anomaly -- Local Gauge Fields Recovered from GaugeInvariant Local Observables -- Relativistic Newtonian Gravitation -- Retrospective on Constructive Quantum Field Theory from the 1970s to Nowadays -- Asymptotic Abelianness and Braided Tensor C*-Categories -- Spectral Stochastic Processes in Quantum Mechanics -- Infrared Problem and Spontaneous Breaking of the Lorenz Group in QED -- Determinants, Manifolds with Boundary, and Dirac Operators. Symmetry Breaking in Classical and Quantum Systems -- C. Tribute and IN MEMORIAM Part. |
| Record Nr. | UNINA-9910799248803321 |
| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||