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quant-phJan 29, 2018
3
citations (OpenAlex)
authors
  • Iveta Semorádová
institutions
  • Czech Technical University in Prague
  • Nuclear Research Institute Rez (Czechia)
arXiv abstractPDF
paper

Crypto-Hermitian Approach to the Klein-Gordon Equation

arXiv:1801.09602 · doi:10.14311/AP.2017.57.0462

Abstract

We explore the Klein-Gordon equation in the framework of crypto-Hermitian quantum mechanics. Solutions to common problems with probability interpretation and indefinite inner product of the Klein-Gordon equation are proposed.

arXiv comment10 pages

References in corpus (8)

  • Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
  • Pseudo-Hermitian Representation of Quantum Mechanics
  • Hilbert Space Structures on the Solution Space of Klein-Gordon Type Evolution Equations
  • Three-Hilbert-Space Formulation of Quantum Mechanics
  • Quasi-Hermiticity in infinite-dimensional Hilbert spaces
  • A Physical Realization of the Generalized PT-, C-, and CPT-Symmetries and the Position Operator for Klein-Gordon Fields
  • Pseudo-Hermitian approach to energy-dependent Klein-Gordon models
  • N-site-lattice analogues of V(x)=ix3

Cited by in corpus (2)

  • Unitarity corridors to exceptional points
  • Theory of response to perturbations in non-Hermitian systems using five-Hilbert-space reformulation of unitary quantum mechanics
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