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Titlebook: Supersymmetric Methods in Quantum and Statistical Physics; Georg Junker Book 1996 Springer-Verlag Berlin Heidelberg 1996 Dirac equation.Po

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Exact Solution of Eigenvalue Problems,l Schrödinger Hamiltonian one can find a family of associated SUSY potentials [AnBoIo84, Suk85a]. In a second step we will demonstrate that a particular invariance property of such a SUSY potential (the so-called shape invariance [Gen83]) will lead to the exact discrete eigenvalues and their corresp
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Supersymmetry in Classical Stochastic Dynamics,ssible to reformulate some supersymmetric models of field theory in terms of classical stochastic equations [PaSo82]. The existence or non-existence of a stationary solution of a classical stochastic system is related to good and broken SUSY in the corresponding field theory, respectively [FeTs82].
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Supersymmetry in the Pauli and Dirac Equation,f the implications of supersymmetry for systems which are characterized by these Hamiltonians. In particular, we will consider the Pauli paramagnetism of a two-and three- dimensional non-interacting electron gas. The (IDOS regularized) Witten index is shown to be related to the zero-temperature magn
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Exact Solution of Eigenvalue Problems,l Schrödinger Hamiltonian one can find a family of associated SUSY potentials [AnBoIo84, Suk85a]. In a second step we will demonstrate that a particular invariance property of such a SUSY potential (the so-called shape invariance [Gen83]) will lead to the exact discrete eigenvalues and their corresponding eigenfunctions of the SUSY Hamiltonian.
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