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Path integrals and supercoherent states (1991)

Chaichian, M. ; Ellinas, D. ; Prešnajder, P.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 32 (1991), S. 3381-3391

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: For the real supergroup Osp(1||2;R), with both its compact and noncompact versions, supercoherent states are introduced with a method close to the one by Perelomov for the even subgroups SU(2) or SU(1,1). These states labeled by a complex c number and Grassmann variable minimize the uncertainty of the quadratic Casimir operator of the group. A path integral formalism is developed for the transition amplitude between supercoherent states for a Hamiltonian linear in the generators of the superalgebra, which leads to a super-Riccati equation. Finally, in the classical limit the canonical equations of motion are derived which involve a generalized super Poisson bracket.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.529451

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