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n QUALITATIVE CONSIDERATIONS
in CALCULATION OF ? IN THE NONRELATTVISTIC LIMIT
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Addison Wesley assumed average energy behavior binomial theorem boundary calculation characteristic energy ratio Compton wavelength consider the term constant contribute kT CORNELL UNIVERSITY corrected energy levels correction is linear creases with increasing differ dlmensionless E. M. Lifshitz enter quadratically equipartition of energy figure gravitational field Hamiltonian Hane Hane's high n L. D. Landau Landau and E. M. large mass lator law of equipartition line kT Lorentz factor lowest energy matrix element non-relativistic value order correction particle partition function perturbation theory plane potential energy primarily quantum mechanical pure quantum quantum mechanical oscillator quantum number quantum region r.m.s. displacements ratio kT/mc region the energy relativistic correction relativistic effects relativistic oscillator relativistic result rest energy RESTLESS HARMONIC OSCILLATOR Richard Sherrill Sandburg Schroedinger Equation simple harmonic oscillator simple picture slightly relativistic smaller special relativity statistical mechanics temperature thermal and quantum thermal energy thermal region thesis tion total energy exclusive uncertainty principle unity