Quantum Newtonian cosmology and the biconfluent Heun functions
Journal Article
·
· Journal of Mathematical Physics
- Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, CEP 58051-970 João Pessoa, PB (Brazil)
- (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
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