Mathieu and Heun solutions to the Wheeler-De Witt equation for hyperbolic universes

DOI10.1007/s10773-017-3595-0zbMath1395.83138OpenAlexW2769866584MaRDI QIDQ725966

Ciprian Dariescu, Marina-Aura Dariescu

Publication date: 2 August 2018

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-017-3595-0

zbMATH Keywords

Heun functionsquantum cosmologyFriedmann equation

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantization of the gravitational field (83C45) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (1)

Heun functions and some of their applications in physics

Cites Work

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• Quantum analysis of \(k=-1\) Robertson-Walker Universe
• Computing the stability regions of Hill's equation
• Dynamical behaviors of FRW universe containing a positive/negative potential scalar field in loop quantum cosmology
• Energy eigenfunctions for position-dependent mass particles in a new class of molecular Hamiltonians
• Quantum cosmology on (k = −1)-Friedmann–Robertson–Walker Universe evolving from stiff matter era to the dust dominated one
• Examples of Heun and Mathieu functions as solutions of wave equations in curved spaces
• Solutions to position-dependent mass quantum mechanics for a new class of hyperbolic potentials
• Quantum Theory of Gravity. I. The Canonical Theory
• From Newton's laws to the Wheeler-DeWitt equation

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