Boundary conditions in closed universes
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We consider the problem of a particle in a square potential well in a one-dimensional closed universe. Imposition of periodic boundary conditions on the wave function changes the usual discrete energy levels to narrow but finite energy bands. Effects on the properties of atoms in a closed universe are estimated to be undetectable.
KeywordsBoundary Condition Wave Function Energy Level Periodic Boundary Energy Band
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- 1.Sandage, A.R. (1970).Phys. Today, p. 34. (February).Google Scholar
- 2.Nowotny, E. (1972).Commun. Math. Phys.,26, 321.Google Scholar
- 3.Kronig, R.de L. and Penney, W.G. (1931).Proc. Roy. Soc.,A130, 499.Google Scholar
- 4.Leighton, R.B. (1959).Principles of Modern Physics, (McGraw-Hill, New York), chapter 11.Google Scholar