A simple and effective technique to variationally interpret the structure of SUSY partners of mirror image potentials

DOI10.1007/S10910-012-0126-3zbMath1447.81132OpenAlexW2017232587MaRDI QIDQ1945547

Neetik Mukherjee

Publication date: 8 April 2013

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-012-0126-3

zbMATH Keywords

SUSY quantum mechanicsisospectralityenantiomersmirror image potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Best approximation, Chebyshev systems (41A50) Groups and algebras in quantum theory and relations with integrable systems (81R12) Supersymmetry and quantum mechanics (81Q60) Mirror symmetry (algebro-geometric aspects) (14J33)

Cites Work

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• Supersymmetric variational energies of 3d confined potentials
• New state dependent uncertainty principle and design of objective function for optimisation: utility of kinetic and potential energy uncertainties
• SUSY-based variational method for the anharmonic oscillator
• A simple generation of exactly solvable anharmonic oscillators
• Shape Invariance and the Supersymmetric WKB Approximation for the Generalized Hulthén Potential
• Periodic potentials and supersymmetry
• SUSYQM and other symmetries in quantum mechanics
• Supersymmetry in quantum mechanics: an extended view

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