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quant-phAug 10, 2006
5
citations (OpenAlex)
authors
  • Zafar Ahmed
institutions
  • Bhabha Atomic Research Centre
arXiv abstractPDF
paper

An ansatz for the eigenstates in PT-symmetric quantum mechanics

arXiv:quant-ph/0608091 · doi:10.1016/j.physleta.2006.08.030

Abstract

We suggest a general ansatz for the energy-eigenstates when a complex one-dimensional PT-symmetric potential possesses real discrete spectrum. Several interesting features of PT-symmetric quantum mechanics have been brought out using this ansatz.

To appear in Phys. Lett. A, 8 pages

References in corpus (9)

  • Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
  • Complex Extension of Quantum Mechanics
  • PT -symmetric harmonic oscillators
  • Generalized Continuity Equation and Modified Normalization in PT-Symmetric Quantum Mechanics
  • Space of State Vectors in PT Symmetrical Quantum Mechanics
  • Variational Ansatz for PT-Symmetric Quantum Mechanics
  • PT symmetry breaking and explicit expressions for the pseudo-norm in the Scarf II potential
  • The energy spectrum of complex periodic potentials of the Kronig-Penney type
  • An exactly solvable PT symmetric potential from the Natanzon class

Cited by in corpus (3)

  • A new solvable complex PT-symmetric potential
  • Accidental crossings of eigenvalues in one-dimensional complex PT-symmetric Scarf-II potential
  • Eigenvalue problems for the complex PT-symmetric potential V(x)= igx
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