2016
DOI: 10.1103/physrevd.93.043505
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Abstract: We analyze the quantum supersymmetric cosmological FRW model with a scalar field, with a conditional probability density and the scalar field identified as time. The Hilbert space has a spinorial structure and there is only one consistent solution, with a conserved probability density. The dynamics of the scale factor is obtained from its mean value. The uncertainty relations are fulfilled and the corresponding fluctuations are consistent with a semiclassical Universe. We give two examples which turn out to ha… Show more

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Cited by 9 publications
(29 citation statements)
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“…The quantization of these models, along the lines of Refs. [43,50] and its comparison with the pure bosonic case [48,51,52], will be the topic of upcoming work. Among other interesting aspects to be investigated, is deriving the modified Friedmann equation, reflecting the effect of fermions by means of a semi-classical approach [53].…”
Section: Discussionmentioning
confidence: 99%
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“…The quantization of these models, along the lines of Refs. [43,50] and its comparison with the pure bosonic case [48,51,52], will be the topic of upcoming work. Among other interesting aspects to be investigated, is deriving the modified Friedmann equation, reflecting the effect of fermions by means of a semi-classical approach [53].…”
Section: Discussionmentioning
confidence: 99%
“…They are, however, sufficiently good to perform the usual Hamiltonian formulation. Typical fermionic Lagrangians contain, at most, linear terms in the velocities, which ultimately lead to second-class constraints of the form π λ = ∂L/∂ λ = λ [50]. For the present case, quadratic velocity terms allow us to solve for all the (physical) velocities, bosonic and fermionic, in terms of coordinates and momenta.…”
Section: Canonical Formulationmentioning
confidence: 97%
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“…They are, however, sufficiently good to perform the usual Hamiltonian formulation. Typical fermionic lagrangians contain at most linear terms in the velocities, which ultimately lead to second-class constraints of the form π λ = ∂L/∂ λ = λ [36]. For the present case, quadratic velocity terms allow us to solve for all the (physical) velocities, bosonic and fermionic, in terms of coordinates and momenta.…”
Section: Canonical Formulationmentioning
confidence: 97%
“…In [48] it is shown how to apply this formalism to homogeneous spaces, and how to construct invariant supergravity actions. In this framework, in [49,50], the FRLW model with a scalar field has been worked out, with a wave function similar to (11), differing only by the power of the scalar factor in front of it, due to a different operator ordering. Further, in these works the interpretation of the scalar field as time is considered, with an effective time dependent wave function, which corresponds to the conditional probability for a given value of the scalar field…”
Section: Supersymmetric Quantum Cosmologymentioning
confidence: 99%