Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation [[electronic resource] /] / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller |
Autore | Kamvissis Spyridon |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, c2003 |
Descrizione fisica | 1 online resource (280 p.) |
Disciplina | 530.12/4 |
Altri autori (Persone) |
McLaughlinK. T-R <1969-> (Kenneth T-R)
MillerPeter D <1967-> (Peter David) |
Collana | Annals of mathematics studies |
Soggetto topico |
Schrodinger equation
Wave mechanics |
Soggetto genere / forma | Electronic books. |
ISBN |
1-299-44345-1
1-4008-3718-9 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Figures and Tables -- Preface -- Chapter 1. Introduction and Overview -- Chapter 2. Holomorphic Riemann-Hilbert Problems for Solitons -- Chapter 3. Semiclassical Soliton Ensembles -- Chapter 4. Asymptotic Analysis of the Inverse Problem -- Chapter 5. Direct Construction of the Complex Phase -- Chapter 6. The Genus - Zero Ansatz -- Chapter 7. The Transition to Genus Two -- Chapter 8. Variational Theory of the Complex Phase -- Chapter 9. Conclusion and Outlook -- Appendix A. H¨older Theory of Local Riemann-Hilbert Problems -- Appendix B. Near-Identity Riemann-Hilbert Problems in L2 -- Bibliography -- Index |
Record Nr. | UNINA-9910465228803321 |
Kamvissis Spyridon
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Princeton, NJ, : Princeton University Press, c2003 | ||
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Lo trovi qui: Univ. Federico II | ||
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Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation [[electronic resource] /] / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller |
Autore | Kamvissis Spyridon |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, c2003 |
Descrizione fisica | 1 online resource (280 p.) |
Disciplina | 530.12/4 |
Altri autori (Persone) |
McLaughlinK. T-R <1969-> (Kenneth T-R)
MillerPeter D <1967-> (Peter David) |
Collana | Annals of mathematics studies |
Soggetto topico |
Schrodinger equation
Wave mechanics |
Soggetto non controllato |
Abelian integral
Analytic continuation Analytic function Ansatz Approximation Asymptote Asymptotic analysis Asymptotic distribution Asymptotic expansion Banach algebra Basis (linear algebra) Boundary (topology) Boundary value problem Bounded operator Calculation Cauchy's integral formula Cauchy's integral theorem Cauchy's theorem (geometry) Cauchy–Riemann equations Change of variables Coefficient Complex plane Cramer's rule Degeneracy (mathematics) Derivative Diagram (category theory) Differentiable function Differential equation Differential operator Dirac equation Disjoint union Divisor Eigenfunction Eigenvalues and eigenvectors Elliptic integral Energy minimization Equation Euler's formula Euler–Lagrange equation Existential quantification Explicit formulae (L-function) Fourier transform Fredholm theory Function (mathematics) Gauge theory Heteroclinic orbit Hilbert transform Identity matrix Implicit function theorem Implicit function Infimum and supremum Initial value problem Integrable system Integral curve Integral equation Inverse problem Jacobian matrix and determinant Kerr effect Laurent series Limit point Line (geometry) Linear equation Linear space (geometry) Logarithmic derivative Lp space Minor (linear algebra) Monotonic function Neumann series Normalization property (abstract rewriting) Numerical integration Ordinary differential equation Orthogonal polynomials Parameter Parametrix Paraxial approximation Parity (mathematics) Partial derivative Partial differential equation Perturbation theory (quantum mechanics) Perturbation theory Pole (complex analysis) Polynomial Probability measure Quadratic differential Quadratic programming Radon–Nikodym theorem Reflection coefficient Riemann surface Simultaneous equations Sobolev space Soliton Special case Taylor series Theorem Theory Trace (linear algebra) Upper half-plane Variational method (quantum mechanics) Variational principle WKB approximation |
ISBN |
1-299-44345-1
1-4008-3718-9 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Figures and Tables -- Preface -- Chapter 1. Introduction and Overview -- Chapter 2. Holomorphic Riemann-Hilbert Problems for Solitons -- Chapter 3. Semiclassical Soliton Ensembles -- Chapter 4. Asymptotic Analysis of the Inverse Problem -- Chapter 5. Direct Construction of the Complex Phase -- Chapter 6. The Genus - Zero Ansatz -- Chapter 7. The Transition to Genus Two -- Chapter 8. Variational Theory of the Complex Phase -- Chapter 9. Conclusion and Outlook -- Appendix A. H¨older Theory of Local Riemann-Hilbert Problems -- Appendix B. Near-Identity Riemann-Hilbert Problems in L2 -- Bibliography -- Index |
Record Nr. | UNINA-9910791959003321 |
Kamvissis Spyridon
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Princeton, NJ, : Princeton University Press, c2003 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation / / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller |
Autore | Kamvissis Spyridon |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, c2003 |
Descrizione fisica | 1 online resource (280 p.) |
Disciplina | 530.12/4 |
Altri autori (Persone) |
McLaughlinK. T-R <1969-> (Kenneth T-R)
MillerPeter D <1967-> (Peter David) |
Collana | Annals of mathematics studies |
Soggetto topico |
Schrodinger equation
Wave mechanics |
ISBN |
1-299-44345-1
1-4008-3718-9 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Figures and Tables -- Preface -- Chapter 1. Introduction and Overview -- Chapter 2. Holomorphic Riemann-Hilbert Problems for Solitons -- Chapter 3. Semiclassical Soliton Ensembles -- Chapter 4. Asymptotic Analysis of the Inverse Problem -- Chapter 5. Direct Construction of the Complex Phase -- Chapter 6. The Genus - Zero Ansatz -- Chapter 7. The Transition to Genus Two -- Chapter 8. Variational Theory of the Complex Phase -- Chapter 9. Conclusion and Outlook -- Appendix A. H¨older Theory of Local Riemann-Hilbert Problems -- Appendix B. Near-Identity Riemann-Hilbert Problems in L2 -- Bibliography -- Index |
Record Nr. | UNINA-9910822848003321 |
Kamvissis Spyridon
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Princeton, NJ, : Princeton University Press, c2003 | ||
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Lo trovi qui: Univ. Federico II | ||
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Series solutions for atom guides [[electronic resource] /] / William M. Golding |
Autore | Golding William M |
Pubbl/distr/stampa | Adelphi, MD : , : Army Research Laboratory, , [2010] |
Descrizione fisica | 1 online resource (vi, 24 pages) : color illustrations |
Collana | ARL-TR |
Soggetto topico |
Atomic orbitals - Mathematical models
Nuclear physics Wave mechanics |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910699910603321 |
Golding William M
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Adelphi, MD : , : Army Research Laboratory, , [2010] | ||
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Lo trovi qui: Univ. Federico II | ||
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Solid-state and molecular theory : a scientific biography / John Slater |
Autore | Slater, John C. |
Pubbl/distr/stampa | New York : John Wiley & Sons, 1975 |
Descrizione fisica | viii, 357 p. : ill. ; 23 cm. |
Soggetto topico |
Energy-band theory of solids
Molecular theory Physics Wave mechanics |
Classificazione |
53(091)
53.1.4 53.5.4 53.8 530.1'24 QC176.8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001246079707536 |
Slater, John C.
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New York : John Wiley & Sons, 1975 | ||
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Lo trovi qui: Univ. del Salento | ||
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Solving the Schrödinger equation [[electronic resource] ] : has everything been tried? / / editor, Paul Popelier |
Pubbl/distr/stampa | London, : Imperial College Press, c2011 |
Descrizione fisica | 1 online resource (375 p.) |
Disciplina | 530.12/4 |
Altri autori (Persone) | PopelierPaul L. A |
Soggetto topico |
Schrödinger equation
Wave functions Wave mechanics |
Soggetto genere / forma | Electronic books. |
ISBN |
1-283-43320-6
9786613433206 1-84816-725-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents; Bibliography; Preface; 1. Intracule Functional Theory Deborah L. Crittenden and Peter M.W. Gill; 1.1 Introduction; 1.2 Intracules; 1.3 Electron Correlation Models; 1.4 Dynamic and Static Correlation; 1.5 Dispersion Energies; 1.6 Future Prospects; Bibliography; 2. Explicitly Correlated Electronic Structure Theory Frederick R. Manby; 2.1 Introduction; 2.1.1 Basis-set expansions; 2.2 F12 Theory; 2.2.1 MP2-F12; 2.2.2 Explicitly correlated coupled-cluster theory; 2.3 Five Thoughts for F12 Theory; 2.3.1 Thought 1: Do we need (products of) virtuals?
2.3.2 Thought 2: Are there better two-electron basis sets?2.3.3 Thought 3: Do we need the resolution of the identity?; 2.3.4 Thought 4: Could we have explicit correlation for higher excitations?; 2.3.5 Thought 5: Can we avoid three-electron errors in two-electron systems?; 2.4 Conclusions; Acknowledgments; Bibliography; 3. Solving Problems with Strong Correlation Using the Density Matrix Renormalization Group (DMRG) Garnet Kin-Lic Chan and Sandeep Sharma; 3.1 The Problem of Strong Correlation; 3.2 The Density Matrix Renormalization Group Wavefunction; 3.3 Locality and Entanglement in the DMRG 3.4 Other Properties of the DMRG3.5 Relation to the Renormalization Group; 3.6 Dynamic Correlation - the Role of Canonical Transformations; 3.7 What Can the DMRG Do? A Brief History; 3.8 The Future: Higher Dimensional Analogues; Bibliography; 4. Reduced-Density-Matrix Theory for Many-electron Correlation David A. Mazziotti; 4.1 Introduction; 4.2 Variational 2-RDM Method; 4.2.1 Energy as a 2-RDM functional; 4.2.2 Positivity conditions; 4.2.2.1. Two-positivity; 4.2.2.2. Three-positivity; 4.2.3 Semidefinite programming; 4.2.4 Applications; 4.2.4.1. Dissociation of the N molecule 4.2.4.2. Metal to insulator transition in the H lattice4.2.4.3. Polyradical character of the acene chains; 4.3 Contracted Schr dinger Theory; 4.3.1 ACSE and cumulant reconstruction; 4.3.2 Solving the ACSE for ground and excited states; 4.3.3 Applications; 4.3.3.1. Energy barriers of bicyclobutane's transition states; 4.3.3.2. Conical intersections in CH 's triplet excited states; 4.4 Parametric 2-RDM Method; 4.4.1 Parametrization of the 2-RDM; 4.4.2 Applications; 4.4.2.1. Correlation energies at equilibrium geometries; 4.4.2.2. Dissociation of the HF molecule 4.4.2.3. Isomerization of nitrosomethane4.5 Looking Ahead; Acknowledgments; 5. Finite Size Scaling for Criticality of the Schr dinger Equation Sabre Kais; 5.1 Introduction; 5.2 Criticality for Large-dimensional Models; 5.3 Finite Size Scaling: A Brief History; 5.4 Finite Size Scaling for the Schr dinger Equation; 5.5 The Hulthen Potential; 5.5.1 Analytical solution; 5.5.2 Basis set expansion; 5.5.3 Finite element method; 5.5.4 Finite size scaling results; 5.6 Finite Size Scaling and Criticality of M-electron Atoms; 5.7 Conclusions; Acknowledgments; Bibliography 6. The Generalized Sturmian Method James Avery and John Avery |
Record Nr. | UNINA-9910457162103321 |
London, : Imperial College Press, c2011 | ||
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Lo trovi qui: Univ. Federico II | ||
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Solving the Schrödinger equation [[electronic resource] ] : has everything been tried? / / editor, Paul Popelier |
Pubbl/distr/stampa | London, : Imperial College Press, c2011 |
Descrizione fisica | 1 online resource (375 p.) |
Disciplina | 530.12/4 |
Altri autori (Persone) | PopelierPaul L. A |
Soggetto topico |
Schrödinger equation
Wave functions Wave mechanics |
ISBN |
1-283-43320-6
9786613433206 1-84816-725-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents; Bibliography; Preface; 1. Intracule Functional Theory Deborah L. Crittenden and Peter M.W. Gill; 1.1 Introduction; 1.2 Intracules; 1.3 Electron Correlation Models; 1.4 Dynamic and Static Correlation; 1.5 Dispersion Energies; 1.6 Future Prospects; Bibliography; 2. Explicitly Correlated Electronic Structure Theory Frederick R. Manby; 2.1 Introduction; 2.1.1 Basis-set expansions; 2.2 F12 Theory; 2.2.1 MP2-F12; 2.2.2 Explicitly correlated coupled-cluster theory; 2.3 Five Thoughts for F12 Theory; 2.3.1 Thought 1: Do we need (products of) virtuals?
2.3.2 Thought 2: Are there better two-electron basis sets?2.3.3 Thought 3: Do we need the resolution of the identity?; 2.3.4 Thought 4: Could we have explicit correlation for higher excitations?; 2.3.5 Thought 5: Can we avoid three-electron errors in two-electron systems?; 2.4 Conclusions; Acknowledgments; Bibliography; 3. Solving Problems with Strong Correlation Using the Density Matrix Renormalization Group (DMRG) Garnet Kin-Lic Chan and Sandeep Sharma; 3.1 The Problem of Strong Correlation; 3.2 The Density Matrix Renormalization Group Wavefunction; 3.3 Locality and Entanglement in the DMRG 3.4 Other Properties of the DMRG3.5 Relation to the Renormalization Group; 3.6 Dynamic Correlation - the Role of Canonical Transformations; 3.7 What Can the DMRG Do? A Brief History; 3.8 The Future: Higher Dimensional Analogues; Bibliography; 4. Reduced-Density-Matrix Theory for Many-electron Correlation David A. Mazziotti; 4.1 Introduction; 4.2 Variational 2-RDM Method; 4.2.1 Energy as a 2-RDM functional; 4.2.2 Positivity conditions; 4.2.2.1. Two-positivity; 4.2.2.2. Three-positivity; 4.2.3 Semidefinite programming; 4.2.4 Applications; 4.2.4.1. Dissociation of the N molecule 4.2.4.2. Metal to insulator transition in the H lattice4.2.4.3. Polyradical character of the acene chains; 4.3 Contracted Schr dinger Theory; 4.3.1 ACSE and cumulant reconstruction; 4.3.2 Solving the ACSE for ground and excited states; 4.3.3 Applications; 4.3.3.1. Energy barriers of bicyclobutane's transition states; 4.3.3.2. Conical intersections in CH 's triplet excited states; 4.4 Parametric 2-RDM Method; 4.4.1 Parametrization of the 2-RDM; 4.4.2 Applications; 4.4.2.1. Correlation energies at equilibrium geometries; 4.4.2.2. Dissociation of the HF molecule 4.4.2.3. Isomerization of nitrosomethane4.5 Looking Ahead; Acknowledgments; 5. Finite Size Scaling for Criticality of the Schr dinger Equation Sabre Kais; 5.1 Introduction; 5.2 Criticality for Large-dimensional Models; 5.3 Finite Size Scaling: A Brief History; 5.4 Finite Size Scaling for the Schr dinger Equation; 5.5 The Hulthen Potential; 5.5.1 Analytical solution; 5.5.2 Basis set expansion; 5.5.3 Finite element method; 5.5.4 Finite size scaling results; 5.6 Finite Size Scaling and Criticality of M-electron Atoms; 5.7 Conclusions; Acknowledgments; Bibliography 6. The Generalized Sturmian Method James Avery and John Avery |
Record Nr. | UNINA-9910778827903321 |
London, : Imperial College Press, c2011 | ||
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Lo trovi qui: Univ. Federico II | ||
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Solving the Schrödinger equation : has everything been tried? / / editor, Paul Popelier |
Edizione | [1st ed.] |
Pubbl/distr/stampa | London, : Imperial College Press, c2011 |
Descrizione fisica | 1 online resource (375 p.) |
Disciplina | 530.12/4 |
Altri autori (Persone) | PopelierPaul L. A |
Soggetto topico |
Schrödinger equation
Wave functions Wave mechanics |
ISBN |
1-283-43320-6
9786613433206 1-84816-725-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Contents; Bibliography; Preface; 1. Intracule Functional Theory Deborah L. Crittenden and Peter M.W. Gill; 1.1 Introduction; 1.2 Intracules; 1.3 Electron Correlation Models; 1.4 Dynamic and Static Correlation; 1.5 Dispersion Energies; 1.6 Future Prospects; Bibliography; 2. Explicitly Correlated Electronic Structure Theory Frederick R. Manby; 2.1 Introduction; 2.1.1 Basis-set expansions; 2.2 F12 Theory; 2.2.1 MP2-F12; 2.2.2 Explicitly correlated coupled-cluster theory; 2.3 Five Thoughts for F12 Theory; 2.3.1 Thought 1: Do we need (products of) virtuals?
2.3.2 Thought 2: Are there better two-electron basis sets?2.3.3 Thought 3: Do we need the resolution of the identity?; 2.3.4 Thought 4: Could we have explicit correlation for higher excitations?; 2.3.5 Thought 5: Can we avoid three-electron errors in two-electron systems?; 2.4 Conclusions; Acknowledgments; Bibliography; 3. Solving Problems with Strong Correlation Using the Density Matrix Renormalization Group (DMRG) Garnet Kin-Lic Chan and Sandeep Sharma; 3.1 The Problem of Strong Correlation; 3.2 The Density Matrix Renormalization Group Wavefunction; 3.3 Locality and Entanglement in the DMRG 3.4 Other Properties of the DMRG3.5 Relation to the Renormalization Group; 3.6 Dynamic Correlation - the Role of Canonical Transformations; 3.7 What Can the DMRG Do? A Brief History; 3.8 The Future: Higher Dimensional Analogues; Bibliography; 4. Reduced-Density-Matrix Theory for Many-electron Correlation David A. Mazziotti; 4.1 Introduction; 4.2 Variational 2-RDM Method; 4.2.1 Energy as a 2-RDM functional; 4.2.2 Positivity conditions; 4.2.2.1. Two-positivity; 4.2.2.2. Three-positivity; 4.2.3 Semidefinite programming; 4.2.4 Applications; 4.2.4.1. Dissociation of the N molecule 4.2.4.2. Metal to insulator transition in the H lattice4.2.4.3. Polyradical character of the acene chains; 4.3 Contracted Schr dinger Theory; 4.3.1 ACSE and cumulant reconstruction; 4.3.2 Solving the ACSE for ground and excited states; 4.3.3 Applications; 4.3.3.1. Energy barriers of bicyclobutane's transition states; 4.3.3.2. Conical intersections in CH 's triplet excited states; 4.4 Parametric 2-RDM Method; 4.4.1 Parametrization of the 2-RDM; 4.4.2 Applications; 4.4.2.1. Correlation energies at equilibrium geometries; 4.4.2.2. Dissociation of the HF molecule 4.4.2.3. Isomerization of nitrosomethane4.5 Looking Ahead; Acknowledgments; 5. Finite Size Scaling for Criticality of the Schr dinger Equation Sabre Kais; 5.1 Introduction; 5.2 Criticality for Large-dimensional Models; 5.3 Finite Size Scaling: A Brief History; 5.4 Finite Size Scaling for the Schr dinger Equation; 5.5 The Hulthen Potential; 5.5.1 Analytical solution; 5.5.2 Basis set expansion; 5.5.3 Finite element method; 5.5.4 Finite size scaling results; 5.6 Finite Size Scaling and Criticality of M-electron Atoms; 5.7 Conclusions; Acknowledgments; Bibliography 6. The Generalized Sturmian Method James Avery and John Avery |
Record Nr. | UNINA-9910813877403321 |
London, : Imperial College Press, c2011 | ||
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Lo trovi qui: Univ. Federico II | ||
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La théorie de la mesure en mécanique ondulatoire : interprétation usuelle et interprétation causale / par Louis de Broglie |
Autore | Broglie, Louis de, 1892-1987 |
Pubbl/distr/stampa | Paris : Gauthier-Villars, 1957 |
Descrizione fisica | 130 p. ; 25 cm |
Disciplina | 530.124 |
Collana | Les grands problèmes des sciences ; 7 |
Soggetto topico | Wave mechanics |
Classificazione | LC QC174.2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | fre |
Record Nr. | UNISALENTO-991003813389707536 |
Broglie, Louis de, 1892-1987
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Paris : Gauthier-Villars, 1957 | ||
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Lo trovi qui: Univ. del Salento | ||
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Wave dispersion in cylindrical tubes : applications to Hopkinson pressure bar experimental techniques / / Libo Ren [and three others] |
Autore | Ren Libo |
Pubbl/distr/stampa | Aberdeen Proving Ground, MD : , : Army Research Laboratory, , September 2004 |
Descrizione fisica | 1 online resource (42 unnumbered pages) : illustrations |
Soggetto topico |
Wave mechanics
Tubes Finite element method Strains and stresses - Measurement Strains and stresses - Equipment and supplies |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Altri titoli varianti | Wave dispersion in cylindrical tubes |
Record Nr. | UNINA-9910706749003321 |
Ren Libo
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Aberdeen Proving Ground, MD : , : Army Research Laboratory, , September 2004 | ||
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Lo trovi qui: Univ. Federico II | ||
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