Global-local algebraic quantization of a two-dimensional non-Hermitian potential

DOI10.1007/S10773-014-2434-9zbMath1329.81245OpenAlexW2014260037MaRDI QIDQ905183

Carlos R. Handy, Daniel Vrinceanu, Carl B. Marth

Publication date: 14 January 2016

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

Full work available at URL: https://doi.org/10.1007/s10773-014-2434-9

zbMATH Keywords

non-Hermitian Hamiltonianalgebraic methodstwo dimensional systems

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

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• Pointwise reconstruction of wave functions from their moments through weighted polynomial expansions: an alternative global-local quantization procedure
• A simple Hill-series approach to the linear potential
• A moments' analysis of quasi-exactly solvable systems: a new perspective on the sextic potential $gx^6+bx^4+mx^2 +{\beta \over {x^2}}$
• $\mathcal P\mathcal T$ phase transition in multidimensional quantum systems
• Failure of the Hill determinant method for the sextic anharmonic oscillator
• Generating converging bounds to the (complex) discrete states of theP²+ iX³+ iαXHamiltonian
• Orthogonal polynomial projection quantization: a new Hill determinant method

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