Book contents
- Frontmatter
- Contents
- Preface
- 1 Propagator and Resolvent
- 2 The WKB Method and Nonperturbative Effects
- 3 The Phase Space Formulation of Quantum Mechanics
- 4 The Path Integral Formulation of Quantum Mechanics
- 5 Metastable States
- Appendix A Asymptotic Series and Borel Resummation
- Appendix B Special Functions
- Appendix C Gaussian Integration
- References
- Index
5 - Metastable States
Published online by Cambridge University Press: 02 December 2021
- Frontmatter
- Contents
- Preface
- 1 Propagator and Resolvent
- 2 The WKB Method and Nonperturbative Effects
- 3 The Phase Space Formulation of Quantum Mechanics
- 4 The Path Integral Formulation of Quantum Mechanics
- 5 Metastable States
- Appendix A Asymptotic Series and Borel Resummation
- Appendix B Special Functions
- Appendix C Gaussian Integration
- References
- Index
Summary
This chapter discusses metastable states or resonances in quantum mechanics. It develops different techniques to compute their complex energies, like complex dilatation techniques, and the uniform and the exact WKB method. The cubic and the inverted quartic oscillators are discussed in detail to exemplify these procedures. Finally, the chapter discusses the analytic continuation of eigenvalue problems, and the path integral formulation of metastable states.
- Type
- Chapter
- Information
- Advanced Topics in Quantum Mechanics , pp. 207 - 238Publisher: Cambridge University PressPrint publication year: 2021