From a mechanical Lagrangian to the Schrödinger equation. A modified version of the quantum Newton law

International Journal of Modern Physics A

Volumn 18, Issue 19, 2003, Pages 3347-3368

  Bouda, A ^a  

^a UNIVERSITY OF BEJAIA   (Algeria)

Author keywords

Conjugate momentum; Hamilton's principal function; Hamiltonian; Lagrangian; Quantum Hamilton Jacobi equation

Indexed keywords

ARTICLE; ENERGY; KINETICS; MASS; MATHEMATICAL ANALYSIS; MOTION; QUANTUM MECHANICS; QUANTUM THEORY; SPACE;

EID: 0042318715     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X03015076     Document Type: Article

References (22)

1. A. Messiah, Quantum Mechanics, Vol. 1 (North-Holland, New York, 1961).
2. E. R. Floyd, Phys. Rev. D34, 3246 (1986); Found. Phys. Lett. 9, 489 (1996).
3. E. R. Floyd, Phys. Rev. D34, 3246 (1986); Found. Phys. Lett. 9, 489 (1996).
4. A. E. Faraggi and M. Matone, Phys. Lett. B450, 34 (1999); B437, 369 (1998).
5. A. E. Faraggi and M. Matone, Phys. Lett. B450, 34 (1999); B437, 369 (1998).
6. A. E. Faraggi and M. Matone, Int. J. Mod. Phys. A15, 1869 (2000).
7. A. Bouda, Found. Phys. Lett. 14, 17 (2001).
8. A. Bouda and T. Djama, Phys. Lett. A285, 27 (2001).
9. D. Bohm, Phys. Rev. 85, 166 (1952); ibid. 85, 180 (1952); D. Bohm and J. P. Vigier, Phys. Rev. 96, 208 (1954).
10. D. Bohm, Phys. Rev. 85, 166 (1952); ibid. 85, 180 (1952); D. Bohm and J. P. Vigier, Phys. Rev. 96, 208 (1954).
11. D. Bohm, Phys. Rev. 85, 166 (1952); ibid. 85, 180 (1952); D. Bohm and J. P. Vigier, Phys. Rev. 96, 208 (1954).
12. E. R. Floyd, Phys. Rev. D25, 1547 (1982).
13. E. R. Floyd, Phys. Rev. D26, 1339 (1982).
14. E. R. Floyd, quant-ph/0009070.
15. A. Bouda and T. Djama, Phys. Lett. A296, 312 (2002).
16. A. Bouda and T. Djama, Physica Scripta 66, 97 (2002).
17. A. E. Faraggi and M. Matone, Phys. Lett. A249, 180 (1998).
18. A. Bouda and F. Hammad, Acta Physica Slovaca 52, 101 (2002).
19. E. R. Floyd, Phys. Lett. A296, 307 (2002).
20. G. Salesi, Int. J. Mod. Phys. A17, 347 (2002).
21. E. R. Floyd, Int. J. Mod. Phys. A15, 1363 (2000).
22. L. Landau and E. Lifchitz, Mécanique, Tome I (Editions Mir, Moscow, 1981).