Parametric symmetries in exactly solvable real and PT symmetric complex potentials

DOI10.1063/1.4954330zbMath1341.81029arXiv1510.01666OpenAlexW3104404266MaRDI QIDQ3178307

Nisha Kumari, Bhabani Prasad Mandal, Avinash Khare, Rajesh Kumar Yadav, Bijan K. Bagchi

Publication date: 11 July 2016

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

Full work available at URL: https://arxiv.org/abs/1510.01666

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60) Special quantum systems, such as solvable systems (81Q80)

Related Items (12)

A short note on ``Group theoretic approach to rationally extended shape invariant potentials ⋮ Supersymmetry and shape invariance of exceptional orthogonal polynomials ⋮ A class of exactly solvable rationally extended non-central potentials in two and three dimensions ⋮ A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems ⋮ Rationally extended many-body truncated Calogero-Sutherland model ⋮ A class of exactly solvable real and complex PT symmetric reflectionless potentials ⋮ Rationally extended harmonic oscillator potential, isospectral family and the uncertainty relations ⋮ Scattering amplitudes for the rationally extended \(PT\) symmetric complex potentials ⋮ Dirac equation on the torus and rationally extended trigonometric potentials within supersymmetric QM ⋮ Deconfinement to confinement as PT phase transition ⋮ One parameter family of rationally extended isospectral potentials ⋮ Exactness of semiclassical quantization rule for broken supersymmetry

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