Jost functions in quantum mechanics : a unified approach to scattering, bound, and resonant state problems

Jost functions in quantum mechanics : a unified approach to scattering, bound, and resonant state problems / Sergei A. Rakityansky.

Based on Jost function theory this book presents an approach useful for different types of quantum mechanical problems. These include the description of scattering, bound, and resonant states, in a unified way. The reader finds here all that is known about Jost functions as well as what is needed to...

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Bibliographic Details
Main Author: Rakityansky, Sergei A. (Author)
Format: eBook
Language:English
Published: Cham : Springer, [2022]
Subjects:
Quantum theory > Mathematical models.
Scattering (Physics)
Quantum theory > Mathematical models
Electronic books.
Online Access:Click for online access
Table of Contents:
  • Chapter 1: The Basic Concepts
  • Part I: Single-Channel Problems
  • Chapter 2: SchrOdinger Equation and its Solutions
  • Chapter 3: Riemann Surface and the Spectral Points
  • Chapter 4: Scattering States and the S-Matrix
  • Chapter 5: Complex Angular Momentum
  • Chapter 6: Greens Functions
  • Chapter 7: Short-Range Potential Extending to Infinity
  • Chapter 8: Single-Channel Potential with Coulombic Tail
  • Part II: Multi-Channel Problems
  • Chapter 9: Non-Central Potential
  • Chapter 10: Systems with Non-Zero Spin
  • Chapter 11: Multi-Channel Schr Odinger Equation
  • Chapter 12: Multi-Channel Jost Matrix
  • Chapter 13: Riemann Surfaces for Multi-Channel Systems
  • Chapter 14: Multi-Channel Problems of Charged Particles
  • Chapter 15: Effective-Range Expansion and its Generalizations
  • Part III: Special Issues
  • Chapter 16: Singular and Low-Dimensional Potentials
  • Chapter 17: Miscellaneous Extensions of the Jost Function Approach
  • Chapter 18: Some Exactly Solvable Potential Models
  • Appendices
  • References and Index.

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