Abstract
The Feynman integral is generalised so as to involve the fluctuations of vacuum, from this integral the generalised Schrödinger equation is derived and the energy spectrum for the Coulomb potential determined.
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References
Blokhintsev, D. I. (1966).The Fundamental Questions of Quantum Mechanics. Nauka Moscow, Chapter 16.2 (in Russian).
Feynman, R. P. and Hibbs, A. R. (1965).Quantum Mechanics and Path Integrals. McGraw-Hill, New York.
Gelfand, I. M. and Yaglom, A. M. (1956).Uspekhi matematicheskikh nauk., XI, 77.
Gradhshtein, I. S. and Ryzhik, I. M. (1963).Tables of Integrals, Sums, Series and Products GIFML, Moscow pp. 498 and 514.
Lee, T. D. and Wick, G. C. (1969). Nuclear Physics,B9, 209.
Merzbacher, E. (1970).Quantum Mechanics. John Wiley & Sons, New York, p. 204.
Mizuno, J. and Chen, J. C. Y.Physical Review,A4, 1500.
Montroll, E. W. (1952).Communications on Pure and Applied Physics,5, 415.
Popov, V. S., Kuznetzov, V. P. and Perelomov, A. M. (1967).JEFT,53, 331.
Welton, T. (1948).Physical Review,74, 1157.
Yamamoto, H. and Kudo, K. (1971).Progress of Theoretical Physics,46, 1278.
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Pardy, M. The generalised Feynman integral. Int J Theor Phys 8, 31–37 (1973). https://doi.org/10.1007/BF00671576
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DOI: https://doi.org/10.1007/BF00671576