Supersymmetric Quantum Mechanics for Bianchi Class A models
نویسندگان
چکیده
In this work we present cosmological quantum solutions for all Bianchi Class A cosmological models obtained by means of supersymmetric quantum mechanics . We are able to write one general expression for all bosonic components occuring in the Grassmann expansion of the wave function of the Universe for this class of models. These solutions are obtained by means of a more general ansatz for the so-called master equations.
منابع مشابه
quantum cosmological solutions for Class A Bianchi Models
We find solutions for quantum Class A Bianchi models of the form Ψ = W e ±Φ generalizing the results obtained by Moncrief and Ryan in standard quantum cosmology. For the II and IX Bianchi models there are other solu-tions˜Φ 2 , ˜ Φ 9 to the Hamilton-Jacobi equation for which Ψ is necessarely zero, in contrast with solutions found in supersymmetric quantum cosmology.
متن کامل. . . or Bianchi class - A models and Reissner - Nordström Black Holes in Quantum
Bianchi class-A models and Reissner-Nordst¨rom (RN) black hole scenarios are considered from the point of view of quantum N=2 Supergravity. It is shown that the presence of Maxwell fields in the supersymmetry constraints implies a non-conservation of the fermion number present in Bianchi class-A models. This effect corresponds to a mixing between different (Lorentz invariant) fermionic sectors ...
متن کاملX iv : g r - qc / 9 50 30 54 v 1 2 9 M ar 1 99 5 Nontrivial Fermion States in Supersymmetric
In this lecture supersymmetric minisuperspace models of any Bianchi type within class A of the classification of Ellis and McCallum are considered. The algebra of the supersymmetry generators, the Lorentz generators, the diffeomorphism generators and the Hamiltonian generator is determined explicitely and found to close. Different from earlier work it is established that physical states, which ...
متن کامل47 v 1 1 7 Ju n 19 96 Conserved Currents in Supersymmetric Quantum Cosmology ? ∗ †
The question if conserved currents can be sensibly defined in supersymmetric minisuper-spaces is investigated in this paper. The " square-root " structure associated with the constraint equations of N=1 supergravity is the motivation to contemplate this tempting idea. Our objective is to employ exclusively the differential equations derived directly from the Lorentz and supersymmetry quantum co...
متن کاملSupersymmetric Quantum Cosmology ∗ — Shaken not stirred
The canonical quantization of N = 1, 2 supergravity theories is reviewed throughout this report. Special emphasis is consigned to the topic of supersymmetric Bianchi class-A and FRW minisuperspaces, namely in the presence of supermatter fields. The quantization of the general theory (including supermatter) is also contemplated. The issue of quantum physical states is subsequently analysed. A di...
متن کامل