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An Introductory Path to Quantum Theory : Using Mathematics to Understand the Ideas of Physics / Stephen Bruce Sontz
| An Introductory Path to Quantum Theory : Using Mathematics to Understand the Ideas of Physics / Stephen Bruce Sontz |
| Autore | Sontz, Stephen Bruce |
| Pubbl/distr/stampa | Cham, : Springer, 2020 |
| Descrizione fisica | xxvi, 286 p. : ill. ; 24 cm |
| Soggetto topico |
81-XX - Quantum theory [MSC 2020]
46N50 - Applications of functional analysis in quantum physics [MSC 2020] 46Cxx - Inner product spaces and their generalizations, Hilbert spaces [MSC 2020] |
| Soggetto non controllato |
Hydrogen atom
Quantum Probability Quantum Theory Quantum mechanics Schrödinger equation Undergraduate textbook |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0248692 |
Sontz, Stephen Bruce
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| Cham, : Springer, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Dedication to Professor Michael Tribelsky : 50 Years in Physics
| Dedication to Professor Michael Tribelsky : 50 Years in Physics |
| Pubbl/distr/stampa | Basel : , : MDPI - Multidisciplinary Digital Publishing Institute, , 2022 |
| Descrizione fisica | 1 electronic resource (204 pages) |
| Soggetto topico |
Research & information: general
Physics |
| Soggetto non controllato |
coffee-ring
micro phase-segregation transition of drying pattern membranes vibration modes color reflective displays phase-change materials structural color polymers knots unknot probability nonlinear diffusion traveling waves stability Goldstone modes Schrödinger equation spectrum of low-exited states Mie scattering superchirality circular dichroism T-matrix incompressible fluid vortical flow vector-potential vorticity Fermi–Pasta–Ulam–Tsingou (FPUT) problem normal modes resonances secular avalanche nonlinear dynamics quantum chaos mixed-type systems energy level statistics billiards lemon billiards optical force graded plasmonic material core-shell particle optical gain scale-free networks Apollonian network random planar graphs generating functions Ginzburg-Landau equations thermal convection quasiperiodic patterns evolutionary dynamics mutations agent-based modeling somatic evolution computational methods mathematical modeling magnetohydrodynamics dynamo theory rigorous bounds |
| ISBN | 3-0365-5638-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | Dedication to Professor Michael Tribelsky |
| Record Nr. | UNINA-9910637777803321 |
| Basel : , : MDPI - Multidisciplinary Digital Publishing Institute, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Diffusion, quantum theory, and radically elementary mathematics / / edited by William G. Faris
| Diffusion, quantum theory, and radically elementary mathematics / / edited by William G. Faris |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 |
| Descrizione fisica | 1 online resource (257 p.) |
| Disciplina | 530.15 |
| Collana | Mathematical Notes |
| Soggetto topico |
Mathematical physics
Diffusion Quantum theory |
| Soggetto non controllato |
Affine space
Algebra Axiom Bell's theorem Brownian motion Central limit theorem Classical mathematics Classical mechanics Clifford algebra Combinatorial proof Commutative property Constructive quantum field theory Continuum hypothesis David Hilbert Dimension (vector space) Discrete mathematics Distribution (mathematics) Eigenfunction Equation Euclidean space Experimental mathematics Fermi–Dirac statistics Feynman–Kac formula First-order logic Fokker–Planck equation Foundations of mathematics Fractal dimension Gaussian process Girsanov theorem Gödel's incompleteness theorems Hilbert space Hilbert's program Holomorphic function Infinitesimal Integer Internal set theory Interval (mathematics) Limit (mathematics) Mathematical induction Mathematical optimization Mathematical physics Mathematical proof Mathematician Mathematics Measurable function Measure (mathematics) Minkowski space Natural number Neo-Riemannian theory Non-standard analysis Number theory Operator algebra Ornstein–Uhlenbeck process Orthonormal basis Perturbation theory (quantum mechanics) Philosophy of mathematics Predicate (mathematical logic) Probability measure Probability space Probability theory Probability Projection (linear algebra) Pure mathematics Pythagorean theorem Quantum field theory Quantum fluctuation Quantum gravity Quantum harmonic oscillator Quantum mechanics Quantum system Quantum teleportation Random variable Real number Renormalization group Renormalization Riemann mapping theorem Riemann surface Riemannian geometry Riemannian manifold Schrödinger equation Scientific notation Set (mathematics) Sign (mathematics) Sobolev inequality Special relativity Spectral theorem Spin (physics) Statistical mechanics Stochastic calculus Stochastic differential equation Tensor algebra Theorem Theoretical physics Theory Turing machine Variable (mathematics) Von Neumann algebra Wiener process Wightman axioms Zermelo–Fraenkel set theory |
| ISBN | 1-4008-6525-5 |
| Classificazione | 33.65 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction: Diffusive Motion and Where It Leads / Faris, William G. -- Chapter Two. Hypercontractivity, Logarithmic Sobolev Inequalities, and Applications: A Survey of Surveys / Gross, Leonard -- Chapter Three. Ed Nelson's Work in Quantum Theory / Simon, Barry -- Chapter Four Symanzik, Nelson, and Self-Avoiding Walk / Brydges, David C. -- Chapter Five. Stochastic Mechanics: A Look Back and a Look Ahead / Carlen, Eric -- Chapter Six. Current Trends in Optimal Transportation: A Tribute to Ed Nelson / Villani, Cédric -- Chapter Seven. Internal Set Theory and Infinitesimal Random Walks / Lawler, Gregory F. -- Chapter Eight. Nelson's Work on Logic and Foundations and Other Reflections on the Foundations of Mathematics / Buss, Samuel R. -- Chapter Nine. Some Musical Groups: Selected Applications of Group Theory in Music / Hook, Julian -- Chapter Ten. Afterword / Nelson, Edward -- Appendix A. Publications by Edward Nelson -- Index |
| Record Nr. | UNINA-9910786749603321 |
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Diffusion, quantum theory, and radically elementary mathematics / / edited by William G. Faris
| Diffusion, quantum theory, and radically elementary mathematics / / edited by William G. Faris |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 |
| Descrizione fisica | 1 online resource (257 p.) |
| Disciplina | 530.15 |
| Collana | Mathematical Notes |
| Soggetto topico |
Mathematical physics
Diffusion Quantum theory |
| Soggetto non controllato |
Affine space
Algebra Axiom Bell's theorem Brownian motion Central limit theorem Classical mathematics Classical mechanics Clifford algebra Combinatorial proof Commutative property Constructive quantum field theory Continuum hypothesis David Hilbert Dimension (vector space) Discrete mathematics Distribution (mathematics) Eigenfunction Equation Euclidean space Experimental mathematics Fermi–Dirac statistics Feynman–Kac formula First-order logic Fokker–Planck equation Foundations of mathematics Fractal dimension Gaussian process Girsanov theorem Gödel's incompleteness theorems Hilbert space Hilbert's program Holomorphic function Infinitesimal Integer Internal set theory Interval (mathematics) Limit (mathematics) Mathematical induction Mathematical optimization Mathematical physics Mathematical proof Mathematician Mathematics Measurable function Measure (mathematics) Minkowski space Natural number Neo-Riemannian theory Non-standard analysis Number theory Operator algebra Ornstein–Uhlenbeck process Orthonormal basis Perturbation theory (quantum mechanics) Philosophy of mathematics Predicate (mathematical logic) Probability measure Probability space Probability theory Probability Projection (linear algebra) Pure mathematics Pythagorean theorem Quantum field theory Quantum fluctuation Quantum gravity Quantum harmonic oscillator Quantum mechanics Quantum system Quantum teleportation Random variable Real number Renormalization group Renormalization Riemann mapping theorem Riemann surface Riemannian geometry Riemannian manifold Schrödinger equation Scientific notation Set (mathematics) Sign (mathematics) Sobolev inequality Special relativity Spectral theorem Spin (physics) Statistical mechanics Stochastic calculus Stochastic differential equation Tensor algebra Theorem Theoretical physics Theory Turing machine Variable (mathematics) Von Neumann algebra Wiener process Wightman axioms Zermelo–Fraenkel set theory |
| ISBN | 1-4008-6525-5 |
| Classificazione | 33.65 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction: Diffusive Motion and Where It Leads / Faris, William G. -- Chapter Two. Hypercontractivity, Logarithmic Sobolev Inequalities, and Applications: A Survey of Surveys / Gross, Leonard -- Chapter Three. Ed Nelson's Work in Quantum Theory / Simon, Barry -- Chapter Four Symanzik, Nelson, and Self-Avoiding Walk / Brydges, David C. -- Chapter Five. Stochastic Mechanics: A Look Back and a Look Ahead / Carlen, Eric -- Chapter Six. Current Trends in Optimal Transportation: A Tribute to Ed Nelson / Villani, Cédric -- Chapter Seven. Internal Set Theory and Infinitesimal Random Walks / Lawler, Gregory F. -- Chapter Eight. Nelson's Work on Logic and Foundations and Other Reflections on the Foundations of Mathematics / Buss, Samuel R. -- Chapter Nine. Some Musical Groups: Selected Applications of Group Theory in Music / Hook, Julian -- Chapter Ten. Afterword / Nelson, Edward -- Appendix A. Publications by Edward Nelson -- Index |
| Record Nr. | UNINA-9910811911703321 |
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Functional Integration and Partial Differential Equations. (AM-109), Volume 109 / / Mark Iosifovich Freidlin
| Functional Integration and Partial Differential Equations. (AM-109), Volume 109 / / Mark Iosifovich Freidlin |
| Autore | Freidlin Mark Iosifovich |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (557 pages) |
| Disciplina | 515.3/53 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Differential equations, Partial
Probabilities Integration, Functional |
| Soggetto non controllato |
A priori estimate
Absolute continuity Almost surely Analytic continuation Axiom Big O notation Boundary (topology) Boundary value problem Bounded function Calculation Cauchy problem Central limit theorem Characteristic function (probability theory) Chebyshev's inequality Coefficient Comparison theorem Continuous function (set theory) Continuous function Convergence of random variables Cylinder set Degeneracy (mathematics) Derivative Differential equation Differential operator Diffusion equation Diffusion process Dimension (vector space) Direct method in the calculus of variations Dirichlet boundary condition Dirichlet problem Eigenfunction Eigenvalues and eigenvectors Elliptic operator Elliptic partial differential equation Equation Existence theorem Exponential function Feynman–Kac formula Fokker–Planck equation Function space Functional analysis Fundamental solution Gaussian measure Girsanov theorem Hessian matrix Hölder condition Independence (probability theory) Integral curve Integral equation Invariant measure Iterated logarithm Itô's lemma Joint probability distribution Laplace operator Laplace's equation Lebesgue measure Limit (mathematics) Limit cycle Limit point Linear differential equation Linear map Lipschitz continuity Markov chain Markov process Markov property Maximum principle Mean value theorem Measure (mathematics) Modulus of continuity Moment (mathematics) Monotonic function Navier–Stokes equations Nonlinear system Ordinary differential equation Parameter Partial differential equation Periodic function Poisson kernel Probabilistic method Probability space Probability theory Probability Random function Regularization (mathematics) Schrödinger equation Self-adjoint operator Sign (mathematics) Simultaneous equations Smoothness State-space representation Stochastic calculus Stochastic differential equation Stochastic Support (mathematics) Theorem Theory Uniqueness theorem Variable (mathematics) Weak convergence (Hilbert space) Wiener process |
| ISBN | 1-4008-8159-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- INTRODUCTION -- I. STOCHASTIC DIFFERENTIAL EQUATIONS AND RELATED TOPICS -- II. REPRESENTATION OF SOLUTIONS OF DIFFERENTIAL EQUATIONS AS FUNCTIONAL INTEGRALS AND THE STATEMENT OF BOUNDARY V A LU E PROBLEMS -- III. BOUNDARY VALUE PROBLEMS FOR EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM -- IV. SMALL PARAMETER IN SECOND-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS -- V. QUASI-LINEAR PARABOLIC EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM -- VI. QUASI-LINEAR PARABOLIC EQUATIONS WITH SMALL PARAMETER. WAVE FRONTS PROPAGATION -- VII. WAVE FRONT PROPAGATION IN PERIODIC AND RANDOM MEDIA -- LIST OF NOTATIONS -- REFERENCES -- Backmatter |
| Record Nr. | UNINA-9910154753703321 |
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Freidlin Mark Iosifovich
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Harmonic Analysis in Phase Space. (AM-122), Volume 122 / / Gerald B. Folland
| Harmonic Analysis in Phase Space. (AM-122), Volume 122 / / Gerald B. Folland |
| Autore | Folland Gerald B. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (289 pages) : illustrations |
| Disciplina | 530.1/3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Phase space (Statistical physics)
Harmonic analysis |
| Soggetto non controllato |
Analytic continuation
Analytic function Antisymmetric tensor Asymptotic expansion Automorphism Bilinear form Bounded operator Calculation Canonical commutation relation Canonical transformation Cauchy–Riemann equations Cayley transform Class function (algebra) Classical mechanics Commutative property Complex analysis Configuration space Differential equation Differential geometry Differential operator Eigenvalues and eigenvectors Equation Explicit formula Fock space Fourier analysis Fourier integral operator Fourier transform Functional analysis Gaussian function Gaussian integral Geometric quantization Hamiltonian mechanics Hamiltonian vector field Harmonic analysis Heisenberg group Hermite polynomials Hermitian symmetric space Hilbert space Hilbert transform Integral transform Invariant subspace Irreducible representation Lebesgue measure Lie algebra Lie superalgebra Lie theory Mathematical physics Number theory Observable Ordinary differential equation Orthonormal basis Oscillator representation Oscillatory integral Partial differential equation Phase factor Phase space Point at infinity Poisson bracket Polynomial Power series Probability Projection (linear algebra) Projective Hilbert space Projective representation Projective space Pseudo-differential operator Pullback (category theory) Quadratic function Quantum harmonic oscillator Quantum mechanics Representation theory Schrödinger equation Self-adjoint operator Semigroup Several complex variables Siegel disc Sobolev space Spectral theorem Spectral theory State-space representation Stone's theorem Stone–Weierstrass theorem Summation Symmetric space Symmetric tensor Symplectic geometry Symplectic group Symplectic vector space Symplectomorphism Tangent space Tangent vector Theorem Translational symmetry Unbounded operator Unit vector Unitarity (physics) Unitary operator Unitary representation Variable (mathematics) Wave packet |
| ISBN | 1-4008-8242-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- PROLOGUE. SOME MATTERS OF NOTATION -- CHAPTER 1. THE HEISENBERG GROUP AND ITS REPRESENTATIONS -- CHAPTER 2. QUANTIZATION AND PSEUDODIFFERENTIAL OPERATORS -- CHAPTER 3. WAVE PACKETS AND WAVE FRONTS -- CHAPTER 4. THE METAPLECTIC REPRESENTATION -- CHAPTER 5. THE OSCILLATOR SEMIGROUP -- APPENDIX A. GAUSSIAN INTEGRALS AND A LEMMA ON DETERMINANTS -- APPENDIX B. SOME HILBERT SPACE RESULTS -- BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154752303321 |
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Folland Gerald B.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to stochastic integration / K. L. Chung, R. J. Williams
| Introduction to stochastic integration / K. L. Chung, R. J. Williams |
| Autore | Chung, Kai Lai |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | New York, : Birkhäuser ; Springer, 2014 |
| Descrizione fisica | XVII, 276 p. ; 24 cm |
| Altri autori (Persone) | Williams, Ruth J. |
| Soggetto topico |
60H05 - Stochastic integrals [MSC 2020]
60J65 - Brownian motion [MSC 2020] |
| Soggetto non controllato |
Brownian Motion
Martingales Schrödinger equation Stochastic differential equations Stochastic integration |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0102869 |
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Chung, Kai Lai
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| New York, : Birkhäuser ; Springer, 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Introduction to stochastic integration / K. L. Chung, R. J. Williams
| Introduction to stochastic integration / K. L. Chung, R. J. Williams |
| Autore | Chung, Kai Lai |
| Pubbl/distr/stampa | Boston, : Birkhäuser, : Springer, 1983 |
| Descrizione fisica | xiii, 192 p. : ill. ; 24 cm |
| Altri autori (Persone) | Williams, Ruth J. |
| Soggetto topico |
60H05 - Stochastic integrals [MSC 2020]
60-XX - Probability theory and stochastic processes [MSC 2020] 60G48 - Generalizations of martingales [MSC 2020] |
| Soggetto non controllato |
Brownian Motion
Martingales Schrödinger equation Stochastic differential equations Stochastic integration |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0253785 |
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Chung, Kai Lai
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| Boston, : Birkhäuser, : Springer, 1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Mathematical Concepts of Quantum Mechanics / Stephen J. Gustafson, Israel Michael Sigal
| Mathematical Concepts of Quantum Mechanics / Stephen J. Gustafson, Israel Michael Sigal |
| Autore | Gustafson, Stephen J. |
| Edizione | [3. ed] |
| Pubbl/distr/stampa | Cham, : Springer, 2020 |
| Descrizione fisica | xiv, 456 p. : ill. ; 24 cm |
| Altri autori (Persone) | Sigal, Israel Michael |
| Soggetto topico |
81-XX - Quantum theory [MSC 2020]
81Q10 - Selfadjoint operator theory in quantum theory, including spectral analysis [MSC 2020] 82-XX - Statistical mechanics, structure of matter [MSC 2020] 81Q05 - Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics [MSC 2020] 82B10 - Quantum equilibrium statistical mechanics (general) [MSC 2020] 81Sxx - General quantum mechanics and problems of quantization [MSC 2020] 46N50 - Applications of functional analysis in quantum physics [MSC 2020] 81Txx - Quantum field theory; related classical field theories [MSC 2020] 47N50 - Applications of operator theory in the physical sciences [MSC 2020] |
| Soggetto non controllato |
Functional Analysis
Quantization Quantum mechanics Schrödinger equation Spectral Theory |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0249429 |
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Gustafson, Stephen J.
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| Cham, : Springer, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Symmetries of Nonlinear PDEs on Metric Graphs and Branched Networks / Dmitry Pelinovsky, Diego Noja
| Symmetries of Nonlinear PDEs on Metric Graphs and Branched Networks / Dmitry Pelinovsky, Diego Noja |
| Autore | Pelinovsky Dmitry |
| Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2019 |
| Descrizione fisica | 1 electronic resource (144 p.) |
| Soggetto non controllato |
quantum graphs
ground states open sets converging to metric graphs norm convergence of operators NLD scaling limit standing waves bound states networks localized nonlinearity nonlinear Schrödinger equation metric graphs convergence of spectra sine-Gordon equation NLS star graph point interactions Laplacians nonrelativistic limit nonlinear wave equations quantum graph soliton nonlinear shallow water equations Kre?n formula breather non-linear Schrödinger equation Schrödinger equation nodal structure |
| ISBN |
9783039217212
3039217216 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910367748503321 |
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Pelinovsky Dmitry
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| MDPI - Multidisciplinary Digital Publishing Institute, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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