Introduction to Perturbation Theory in Quantum MechanicsCRC Press, 19 de set. de 2000 - 288 páginas Perturbation theory is a powerful tool for solving a wide variety of problems in applied mathematics, a tool particularly useful in quantum mechanics and chemistry. Although most books on these subjects include a section offering an overview of perturbation theory, few, if any, take a practical approach that addresses its actual implementation |
Conteúdo
| 1 | |
2 Perturbation Theory in the Coordinate Representation | 13 |
3 Perturbation Theories without Wavefunction | 27 |
4 Simple Atomic and Molecular Systems | 61 |
5 The Schrödinger Equation on Bounded Domains | 83 |
6 Convergence of the Perturbation Series | 105 |
7 Polynomial Approximations | 137 |
8 Perturbation Theory for Scattering States in One Dimension | 173 |
9 Perturbation Theory in Classical Mechanics | 193 |
Maple Programs | 229 |
Appendix A | 245 |
Appendix B | 249 |
Appendix C | 251 |
| 255 | |
| 267 | |
Outras edições - Ver todos
Introduction to Perturbation Theory in Quantum Mechanics Francisco M. Fernandez Prévia não disponível - 2000 |
Introduction to Perturbation Theory in Quantum Mechanics FRANCISCO M. FERNANDEZ Prévia não disponível - 2020 |
Introduction to Perturbation Theory in Quantum Mechanics Francisco M. Fernandez Prévia não disponível - 2000 |
Termos e frases comuns
according to equation algebraic anharmonic oscillator application of perturbation apply perturbation theory boundary conditions branch points calculation canonical perturbation canonical transformations Chapter choose consider deep-well approximation derive differential equation dimensionless effect in hydrogen eigenfunction eigenvalue equation energy coefficients exact expectation values expression Fernández and Castro given Hamiltonian operator harmonic Hellmann–Feynman theorem hydrogen atom hypervirial illustrative example interaction linear Maple procedures Maple program method of Fernández method of Swenson Notice order to obtain Oscillator H perturbation coefficients perturbation corrections perturbation equations perturbation order perturbation parameter perturbation series perturbation theory polynomial approximation potential-energy function program section quantum number quantum-mechanical radius of convergence recurrence relation renormalized series rewrite rigid rotor Schrödinger equation shows simple Maple singular points solution solve Stark effect straightforward substitute Swenson and Danforth Table Taking into account Taylor expansion Taylor series unperturbed variables