Darboux parameter for empty FRW quantum universes and quantum cosmological singularities

Abstract

I present the factorization(s) of the Wheeler-DeWitt equation for vacuum FRW minisuperspace universes of arbitrary Hartle-Hawking factor ordering, including the so-called strictly isospectral supersymmetric method. By the latter means, one can introduce an infinite class of singular FRW minisuperspace wavefunctions characterized by a Darboux parameter that mathematically speaking is a Riccati integration constant, while physically determines the position of these strictly isospectral singularities on the Misner time axis

3 pages, LaTex

References in corpus (1)

• Quantum Gravity and Regge Calculus

Cited by in corpus (2)

• A Riccati equation based approach to isotropic scalar field cosmologies
• Singular parametric oscillators from the one-parameter Darboux transformation of the classical harmonic oscillator