Quantum Newtonian cosmology and the biconfluent Heun functions

Journal Article · Tue Sep 15 00:00:00 EDT 2015 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4930871· OSTI ID:22479603

Vieira, H. S., E-mail: [e-mail] ^[1]; Centro de Ciências, Tecnologia e Saúde, Universidade Estadual da Paraíba, CEP 58233-000 Araruna, PB ^[2]; Bezerra, V. B., E-mail: [e-mail] ^[1]

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1. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, CEP 58051-970 João Pessoa, PB (Brazil)
2. (Brazil)

We obtain the exact solution of the Schrödinger equation for a particle (galaxy) moving in a Newtonian universe with a cosmological constant, which is given in terms of the biconfluent Heun functions. The first six Heun polynomials of the biconfluent function are written explicitly. The energy spectrum which resembles the one corresponding to the isotropic harmonic oscillator is also obtained. The wave functions as well as the energy levels codify the role played by the cosmological constant.

• OSTI ID: 22479603
• Journal Information: Journal of Mathematical Physics, Vol. 56, Issue 9; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
79 ASTROPHYSICS
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COSMOLOGICAL CONSTANT
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ENERGY SPECTRA
EXACT SOLUTIONS
GALAXIES
HARMONIC OSCILLATORS
POLYNOMIALS
SCHROEDINGER EQUATION
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