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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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Supersymmetric quantum mechanics and superdeformed nuclei

Physical Review Letters, 1991
Summary: We study supersymmetric quantum mechanics with particular emphasis on factorization as a key to understanding the recently discovered isospectral gamma ray cascades seen in neighboring superdeformed nuclei. Explicit realization of the general algebraic approach leads to state doubling in the odd-\(A\) nucleus.
Amado, R.D.   +3 more
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Duality and supersymmetric quantum mechanics

Journal of Physics A: Mathematical and General, 2002
Summary: Given a SUSY potential \(\Phi(x)\) in non-relativistic quantum mechanics, a pair of potentials \(V_{\pm}(x)\) can be constructed to describe the bosonic and fermionic sectors of the theory. We apply a form of electric-magnetic duality to such a pair of potentials and derive conditions that must be satisfied in order for the images of the ...
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Spacetime-supersymmetric quantum mechanics

Classical and Quantum Gravity, 1985
A modification of the action of Brink and Schwarz (1981) for a particle with spacetime supersymmetry allows quantisation in a Lorentz-covariant gauge, defines the usual supersymmetry-covariant derivatives, and implies equations of motion which hold for all massless representations of supersymmetry.
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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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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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Deformation in supersymmetric quantum mechanics

Physics Letters A, 1993
Abstract We present a comprehensive scheme of deformation and apply it to supersymmetric quantum mechanics. We work out the connection with a recently proposed model and explore a new mode of quantum deformation.
K. Samanta, Bijan Bagchi
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Aspects of supersymmetric quantum mechanics

Annals of Physics, 1983
Abstract We review the properties of supersymmetric quantum mechanics for a class of models proposed by Witten. Using both Hamiltonian and path integral formulations, we give general conditions for which supersymmetry is broken (unbroken) by quantum fluctuations. The spectrum of states is discussed, and a virial theorem is derived for the energy.
Fred Cooper, Barry Freedman
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Generalized quantum condition and supersymmetric quantum mechanics

Physics Letters A, 1994
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