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quant-phDec 15, 1999
23
citations (OpenAlex)
authors
  • Toshiki Shimbori
institutions
  • University of Tsukuba
arXiv abstractPDF
paper

Operator Methods of the Parabolic Potential Barrier

arXiv:quant-ph/9912073 · doi:10.1016/S0375-9601(00)00462-X

Abstract

The one-dimensional parabolic potential barrier dealt with in an earlier paper is re-examined from the point of view of operator methods, for the purpose of getting generalized Fock spaces.

7 pages, AmS-LaTeX, no figures

Cited by in corpus (14)

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  • Zero Energy Solutions and Vortices in Schroedinger Equations
  • Statistical Mechanics for Unstable States in Gel'fand Triplets and Investigations of Parabolic Potential Barriers
  • Stationary Flows of the Parabolic Potential Barrier in Two Dimensions
  • Supersymmetric Quantum Mechanics of Scattering
  • Vortex Lattices in Quantum Mechanics
  • Entropy Burst from Parabolic Potentials
  • Non-Hermitian inverted Harmonic Oscillator-Type Hamiltonians Generated from Supersymmetry with Reflections
  • Hartman effect and dissipative quantum systems
  • Quantum Approach to Bound States in Field Theory
  • Flow equation approach to diagonal representation of an unbounded Hamiltonian with complex eigenvalues
  • Zero-Energy Flows and Vortex Patterns in Quantum Mechanics
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