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
1 - Propagator and Resolvent
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
It presents the unitary time evolution operator and its integral kernel in the space representation, also known as the quantum-mechanical propagator. It introduces the resolvent operator and its analytical properties, and it discusses in some detail scattering theory in one dimension.
- Type
- Chapter
- Information
- Advanced Topics in Quantum Mechanics , pp. 1 - 30Publisher: Cambridge University PressPrint publication year: 2021