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quant-phSep 14, 1995
18
citations (OpenAlex)
authors
  • M. Sanjay Kumar
  • Avinash Khare
institutions
  • Institute of Physics, Bhubaneshwar
arXiv abstractPDF
paper

Coherent States for Isospectral Hamiltonians

arXiv:quant-ph/9509008 · doi:10.1016/0375-9601(96)00332-5

Abstract

We show that for the strictly isospectral Hamiltonians, the corresponding coherent states are related by a unitary transformation. As an illustration, we discuss, the example of strictly isospectral one-dimensional harmonic oscillator Hamiltonians and the associated coherent states.

RevTeX, 9 pages, no figures

References in corpus (2)

  • Supersymmetry and Quantum Mechanics
  • Distorted Heisenberg Algebra and Coherent States for Isospectral Oscillator Hamiltonians

Cited by in corpus (9)

  • Coherent states for Hamiltonians generated by supersymmetry
  • Phase operators, temporally stable phase states, mutually unbiased bases and exactly solvable quantum systems
  • Geometric phases for generalized squeezed coherent states
  • Coherent and squeezed states: introductory review of basic notions, properties and generalizations
  • A pedestrian introduction to coherent and squeezed states
  • Ladder operators for isospectral oscillators
  • Generalized Ladder Operators for Shape-invariant Potentials
  • Isospectral Hamiltonian for position-dependent mass for an arbitrary quantum system and coherent states
  • Isospectral oscillators as a resource for quantum information processing
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