Supersymmetric quantum mechanics and solvable models

DOI10.3390/sym4030452zbMath1351.81055OpenAlexW2058140753MaRDI QIDQ350625

Jeffry V. Mallow, Constantin Rasinariu, Asim Gangopadhyaya, Jonathan Bougie

Publication date: 9 December 2016

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym4030452

zbMATH Keywords

quantum mechanicssupersymmetryshape invariance

Mathematics Subject Classification ID

Supersymmetry and quantum mechanics (81Q60) Special quantum systems, such as solvable systems (81Q80)

Related Items (14)

Lie symmetry and the Bethe ansatz solution of a new quasi-exactly solvable double-well potential ⋮ Generation of a novel exactly solvable potential ⋮ Exact solution of the Schrödinger equation with a new expansion of anharmonic potential with the use of the supersymmetric quantum mechanics and factorization method ⋮ Generalized Langer correction and the exactness of WKB for all conventional potentials ⋮ Quantum Hamilton–Jacobi quantization and shape invariance ⋮ Inter-relations between additive shape invariant superpotentials ⋮ Exactness of SWKB for shape invariant potentials ⋮ The supersymmetric quantum mechanics theory and Darboux transformation for the Morse oscillator with an approximate rotational term ⋮ Entanglement, superselection rules and supersymmetric quantum mechanics ⋮ Computing the Maslov index for large systems ⋮ The supersymmetric WKB formalism is not exact for all additive shape invariant potentials ⋮ Eigensolution of the Klein-Gordon equation for modified Yukawa-Kratzer potential and its applications using parametric Nikiforov-Uvarov and SUSYQM method ⋮ Numerical study of the SWKB condition of novel classes of exactly solvable systems ⋮ Exactness of semiclassical quantization rule for broken supersymmetry

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