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A Derivation of the Path-Integral Formalism of Quantum Mechanics from Probability Conservation along the Velocity Flows of Classical Particles |
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PP: 17-24 |
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Author(s) |
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Frank Blume,
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Abstract |
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| Denoting byv¯
the velocity flow of a classical particle that is subject to a potential V, we demonstrate that the path-integral
formalismof non-relativistic quantummechanics can be obtained by superimposing wave functions that are solutions of a wave equation
which in turn directly corresponds to the probability conservation equation div(y∗yv
¯
) = 0. |
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