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Title: Quantum Newtonian cosmology and the biconfluent Heun functions

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.
Authors:
 [1] ;  [2] ;  [1]
  1. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, CEP 58051-970 João Pessoa, PB (Brazil)
  2. (Brazil)
Publication Date:
OSTI Identifier:
22479603
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 9; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGICAL CONSTANT; COSMOLOGY; ENERGY LEVELS; ENERGY SPECTRA; EXACT SOLUTIONS; GALAXIES; HARMONIC OSCILLATORS; POLYNOMIALS; SCHROEDINGER EQUATION; UNIVERSE; WAVE FUNCTIONS