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Supersymmetric quantum mechanics

Supersymmetric Methods in Quantum, Statistical and Solid State Physics: Enlarged and revised edition, 2019
Supersymmetry is a symmetry that relates bosons to fermions. In this paper I have studied how one can make a theory supersymmetric and what the simplest supersymmetric extension is.
Georg Junker
semanticscholar   +2 more sources

Pseudospin symmetric solutions of the Dirac equation with the modified Rosen–Morse potential using Nikiforov–Uvarov method and supersymmetric quantum mechanics approach

Chinese Physics B, 2021
Employing the Pekeris-type approximation to deal with the pseudo-centrifugal term, we analytically study the pseudospin symmetry of a Dirac nucleon subjected to equal scalar and vector modified Rosen–Morse potential including the spin–orbit coupling term
W. Chen 陈, Ituen B. Okon
semanticscholar   +1 more source

Quiver Yangian and Supersymmetric Quantum Mechanics

Communications in Mathematical Physics, 2020
The statistical model of crystal melting represents BPS configurations of D-branes on a toric Calabi–Yau three-fold. Recently it has been noticed that an infinite-dimensional algebra, the quiver Yangian, acts consistently on the crystal-melting ...
D. Galakhov, M. Yamazaki
semanticscholar   +1 more source

Generalized Supersymmetric Quantum Mechanics

Physical Review Letters, 1985
The spectrum of a supersymmetric quantum mechanical theory that leads to a generalized superalgebra is computed exactly. It has the feature that both the ground and first excited levels have unequal numbers of Bose and Fermi states.
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Supersymmetric quaternionic quantum mechanics

Physical Review A, 1994
We present the supersymmetric formulation of quaternionic quantum mechanics. We show that most of the results of supersymmetric quantum mechanics over the complex numbers go through, but unlike complex quantum mechanics, there is no general expression for the ground state in terms of the superpotential.
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Coupled-channel supersymmetric quantum mechanics

Physical Review A, 1988
We show how to generalize supersymmetric quantum mechanics to coupled two-body channels. For the case with different thresholds for each channel we obtain simple relations between $S$-matrix elements of the original problem and its supersymmetric partner in a given partial wave.
Amado, R.D., Cannata, F., Dedonder, J.P.
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Generalization of Supersymmetric Quantum Mechanics

International Journal of Theoretical Physics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daoud, M., Hassouni, Y.
openaire   +1 more source

Scalar potentials with multi-scalar fields from quantum cosmology and supersymmetric quantum mechanics

, 2017
.The multi-scalar field cosmology of the anisotropic Bianchi type-I model is used in order to construct a family of potentials that are the best suited to model the inflation phenomenon.
J. Socorro, Omar E. Núñez
semanticscholar   +1 more source

Supersymmetric symplectic quantum mechanics

Annals of Physics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Menezes, Miralvo B., Fernandes, M. C. B., Martins, Maria das Graças R., Santana, A. E., Vianna, J. D. M.   +4 more
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Supersymmetric Quantum Mechanics

1991
We summarize recent developments of supersymmetric quantum mechanics. We start from the susy oscillator, mention the factorization schemes and discuss the order of levels of Schrodinger operators as an example. We mention soliton equations and the inverse scattering problem and discuss susy breaking and index problems for Dirac operators.
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