Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-06-14
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 8 pages
Scientific paper
10.1088/0264-9381/13/7/003
The superfield formulation of two - dimensional $N=4$ Extended Supersymmetric Quantum Mechanics (SQM) is described. It is shown that corresponding classical Lagrangian describes the motion in the conformally flat metric with additional potential term. The Bose and Fermi sectors of two- and three-dimensional $N=4$ SQM are analyzed. The structure of the quantum Hamiltonians is such, that the usual Shr\"{o}dinger equation in the flat space arises after some unitary transformation, demonstrating the effect of transmutation of the coupling constant and the energy of the initial model in some special cases.
Berezovoj V.
Pashnev Anatoly
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