Abstract
A mathematical representation of the quantum mechanical wavefunction in terms of path-probability is presented. It provides an interesting reformulation of Feynman's path-integrals. The whole results are natural consequences of stochastic calculus of variations.
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Yasue, K., ‘Quantum Mechanics and Stochastic Control Theory’, J. Math. Phys. 22 (1981), to be published.
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Yasue, K. and Zambrini, J.-Cl., ‘Quantization of Internal Degrees of Freedom and Path-integrals in Riemannian Manifolds’, preprint, Univ. of Geneva, UGVA-DPT 1980/07-253.
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Yasue, K. A path-probability representation for wavefunctions. Lett Math Phys 5, 93–97 (1981). https://doi.org/10.1007/BF00403236
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DOI: https://doi.org/10.1007/BF00403236