DEFORMED HARMONIC OSCILLATOR FOR NON-HERMITIAN OPERATOR AND THE BEHAVIOR OF PT AND CPT SYMMETRIES

DOI10.1142/S0217979206034698zbMath1243.81069OpenAlexW2004289701MaRDI QIDQ5484235

Kostas Vlachos, A. Jannussis, Antony Streklas, V. Papatheou

Publication date: 24 August 2006

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979206034698

zbMATH Keywords

non-Hermitian operatorsPT symmetrydeformed harmonic oscillatorCPT symmetry

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Cites Work

• Variational ansatz for PT-symmetric quantum mechanics
• Quasi-exactly solvable quartic potential
• The non-commutative and discrete spatial structure of a 3D Wigner quantum oscillator
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Orbital magnetism of a two-dimensional noncommutative confined system
• 𝓟𝓣-symmetric quantum mechanics
• Non-Hermitian harmonic oscillator with discrete complex or real spectrum for non-unitary squeeze operators
• The noncommutative harmonic oscillator in more than one dimension
• Landau diamagnetism in noncommutative space and the nonextensive thermodynamics of Tsallis
• Quantum mechanics on the noncommutative torus
• Two phases of the noncommutative quantum mechanics

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