The Schrödinger equation via an operator functional equation |
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| Authors: | Donald E. Catlin |
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| Affiliation: | (1) Department of Mathematics and Statistics, The University of Massachusetts at Amherst, Lederle Graduate Research Center, 01003 Amherst, Massachusetts |
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| Abstract: | In this paper we derive the Schrödinger equation by comparing quantum statistics with classical statistical mechanics, identifying similarities and differences, and developing an operator functional equation which is solved in a completely algebraic fashion with no appeal to spatial invariances or symmetries. |
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