Classical universe arising from quantum cosmology

Jalalzadeh, S.; Rashki, M.; Nejad, Salman Abarghouei

doi:10.1016/j.dark.2020.100741

Cited by 3 publications

(5 citation statements)

References 79 publications

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“…In fact, the new set of phase space coordinates (T, p T ) is related to the harmonic oscillator's action-angle variables, (ϕ, p ϕ ), by [76,77]:…”

Section: Quantizationmentioning

confidence: 99%

“…As seen, the second set of solutions for (75) implies that T plays the role of the time parameter. Consequently, the Poisson bracket of the time parameter and super-Hamiltonian does not vanish but instead we have {T, H} = 1 = {T, p T }, which implies that T is not a Dirac observable, and therefore, we may consider it as a time variable; see, for instance, [76] and references therein.…”

Section: Quantizationmentioning

confidence: 99%

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Shape Invariant Potentials in Supersymmetric Quantum Cosmology

2022

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In this brief review, we comment on the concept of shape invariant potentials, which is an essential feature in many settings of N=2 supersymmetric quantum mechanics. To motivate its application within supersymmetric quantum cosmology, we present a case study to illustrate the value of this promising tool. Concretely, we take a spatially flat FRW model in the presence of a single scalar field, minimally coupled to gravity. Then, we extract the associated Schrödinger–Wheeler–DeWitt equation, allowing for a particular scope of factor ordering. Subsequently, we compute the corresponding supersymmetric partner Hamiltonians, H1 and H2. Moreover, we point out how the shape invariance property can be employed to bring a relation among several factor orderings choices for our Schrödinger–Wheeler–DeWitt equation. The ground state is retrieved, and the excited states easily written. Finally, the Hamiltonians, H1 and H2, are explicitly presented within a N=2 supersymmetric quantum mechanics framework.

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“…In fact, the new set of phase space coordinates (T, p T ) is related to the harmonic oscillator's action-angle variables, (ϕ, p ϕ ), by [76,77]:…”

Section: Quantizationmentioning

confidence: 99%

Section: Quantizationmentioning

confidence: 99%

Shape Invariant Potentials in Supersymmetric Quantum Cosmology

2022

View full text Add to dashboard Cite

show abstract

“…In the rest of this section, we will note the formulation of noncommutative system using undeformed canonical variables. A similar formulation is already known in quantum cosmology, the technique required to find the WDW equation [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][31][32][33].…”

Section: Classical Noncommutative Bicosmologymentioning

confidence: 99%

Classical and quantum bicosmology with noncommutativity

Kan¹,

Aoyama²,

Shiraishi³

2022

Class. Quantum Grav.

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Recently, Falomir, Gamboa, Mendez, Gondolo and Maldonado proposed a bicosmology scenario [1-4] for solving some cosmological problems related to inflation, dark matter, and thermal history of the universe. Their plan is to introduce noncommutativity into the momentum space of the two scale factors. In the present paper, we revisit their model and first consider exact classical solutions in the model with constant noncommutativity between dynamical variables and between canonical momenta. We also hypothesize that the noncommutativity appears when the scale factors are small, and show the behavior of the classical solution in that case with momentum-space noncommutativity. Finally, we write down the Wheeler-DeWitt equation in that case and examine the behavior of the solution.

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“…In fact, the new set of phase space coordinates (T, p T ) is related to the harmonic oscillator's actionangle variables, (ϕ, p ϕ ), by [70,71]…”

Section: Quantizationmentioning

confidence: 99%

Section: Quantizationmentioning

confidence: 99%

Shape Invariant Potentials in Supersymmetric Quantum Cosmology

Jalalzadeh,

Rasouli,

Moniz

2022

Preprint

Self Cite

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In this brief review, we comment on the concept of shape invariant potentials, which is an essential feature in many settings of N = 2 supersymmetric quantum mechanics. To motivate its application within supersymmetric quantum cosmology, we present a case study to illustrate the value of this promising tool. Concretely, we take a spatially flat FRW model in the presence of a single scalar field, minimally coupled to gravity. Then, we extract the associated Schrödinger-Wheeler-DeWitt equation, allowing for a particular scope of factor ordering. Subsequently, we compute the corresponding supersymmetric partner Hamiltonians, H1 and H2. Moreover, we point out how the shape invariance property can be employed to bring a relation among several factor orderings choices for our Schrödinger-Wheeler-DeWitt equation. The ground state is retrieved, and the excited states easily written. Finally, the Hamiltonians, H1 and H2 are explicitly presented within a N = 2 supersymmetric quantum mechanics framework.

show abstract

Classical universe arising from quantum cosmology

Cited by 3 publications

References 79 publications

Shape Invariant Potentials in Supersymmetric Quantum Cosmology

Shape Invariant Potentials in Supersymmetric Quantum Cosmology

Classical and quantum bicosmology with noncommutativity

Shape Invariant Potentials in Supersymmetric Quantum Cosmology

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