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Quantum Mechanics in Mathematics, Chemistry, and Physics

  • Book
  • © 1981

Overview

Editors:
  1. Karl E. Gustafson

    1. University of Colorado, Boulder, USA

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  2. William P. Reinhardt

    1. University of Colorado, Boulder, USA
      Joint Institute for Laboratory Astrophysics, National Bureau Standards and University of Colorado, Boulder, USA

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Table of contents (37 chapters)

  1. Front Matter

    Pages i-ix
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  2. Total Cross Sections in Non-Relativistic Scattering Theory

    • Volker Enss, Barry Simon
    Pages 1-26

  3. Classical-Quantum Correspondence in Non-Linear Systems

    • Eric J. Heller, Ellen B. Stechel, Michael J. Davis
    Pages 27-42

  4. Real Axis Asymptotics and Estimates of Hamiltonian Resolvent Kernels

    • F. H. Brownell
    Pages 43-71

  5. Statistical Inference in Quantum Mechanics

    • Jean-Paul Marchand
    Pages 73-81

  6. Schrödinger Operators with Oscillating Potentials

    • Allen Devinatz, Peter Rejto
    Pages 83-98

  7. Time Delay and Resonance in Simple Scattering

    • Kalyan B. Sinha
    Pages 99-106

  8. A Study of the Helmholtz Operator

    • Karl Gustafson, Guy Johnson
    Pages 107-120

  9. Invariant Manifolds and Bifurcations in the Taylor Problem

    • R. D. Richtmyer
    Pages 121-124

  10. On the Dimension of a Finite Difference Approximation to Divergence-Free Vectors

    • R. L. Hartman, K. Gustafson
    Pages 125-131

  11. Intramolecular Dynamics in the Quasiperiodic and Stochastic Regimes

    • D. W. Noid, M. L. Koszykowski, R. A. Marcus
    Pages 133-166

  12. Problems in the Semiclassical Quantization of Integrable and Nonintegrable Classical Dynamical Systems

    • William P. Reinhardt, Charles Jaffé
    Pages 167-177

  13. Nonselfadjoint Operators in Diffraction and Scattering

    • C. L. Dolph, A. G. Ramm
    Pages 179-182

  14. One-Dimensional Crystals in an External Field

    • James S. Howland
    Pages 183-191

  15. Dynamics of Forced Coupled Oscillators: Classical Phenomenology of Infrared Multiphoton Absorption

    • Ramakrishna Ramaswamy, R. A. Marcus
    Pages 193-201

  16. Irreversibility and Stochasticity of Chemical Processes

    • K. Gustafson, R. K. Goodrich, B. Misra
    Pages 203-210

  17. On the Representations of the Local Current Algebra and the Group of Diffeomorphisms (I)

    • Daoxing Xia
    Pages 211-222

  18. Regular and Chaotic Regimes in Quantum Mechanics

    • Michael Tabor
    Pages 223-241

  19. Barrier Penetration and Exponential Decay in the Stark Effect

    • Ira W. Herbst
    Pages 243-253

  20. A Nonlinear Schrödinger Equation Yielding the “Shape of Molecules” by Spontaneous Symmetry Breaking

    • Peter Pfeifer
    Pages 255-266
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Keywords

Editors and Affiliations

  • University of Colorado, Boulder, USA

    Karl E. Gustafson, William P. Reinhardt

  • Joint Institute for Laboratory Astrophysics, National Bureau Standards and University of Colorado, Boulder, USA

    William P. Reinhardt

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