Quantum Hamilton-Jacobi formalism and the bound state spectra

American Journal of Physics

Volumn 65, Issue 12, 1997, Pages 1187-1194

  Bhalla, R S ^a   Kapoor, A K ^a   Panigrahi, P K ^a  

^a UNIVERSITY OF HYDERABAD   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031501742     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18773     Document Type: Article

References (14)

1. H. Goldstein, Classical Mechanics (Addison-Wesley, Reading, MA, 1950), pp. 273-317.
2. P. A. M. Dirac, The Principles of Quantum Mechanics (Oxford U.P., London, 1958), pp. 122; for some original articles and references see J. Schwinger, Quantum Electrodynamics (Dover, New York, 1958).
3. P. A. M. Dirac, The Principles of Quantum Mechanics (Oxford U.P., London, 1958), pp. 122; for some original articles and references see J. Schwinger, Quantum Electrodynamics (Dover, New York, 1958).
4. R. A. Leacock and M. J. Padgett, "Hamilton-Jacobi theory and the Quantum Action Variable," Phys. Rev. Lett. 50, 3-6 (1983).
5. R. A. Leacock and M. J. Padgett, "Hamilton-Jacobi/action-angle quantum mechanics," Phys. Rev. D 28, 2491-2502 (1983).
6. See Ref. 1. pp. 306, 315.
7. R. S. Bhalla. A. K. Kapoor, and P. K. Panigrahi, "Energy eigenvalues for supersymmetric potentials via quantum Hamilton-Jacobi formalism" (hep-th/9507154) (1995).
8. R. Dutt, A. Khare, and U. P. Sukhatme, "Supersymmetry, shape invariance, and exactly solvable potentials," Am. J. Phys. 56(2), 163-168 (1988); F. Cooper, A. Khare, and U. P. Sukhatme, "Supersymmetry and quantum mechanics," Phys. Rep. 251, 267-385 (1995), and references contained therein.
9. R. Dutt, A. Khare, and U. P. Sukhatme, "Supersymmetry, shape invariance, and exactly solvable potentials," Am. J. Phys. 56(2), 163-168 (1988); F. Cooper, A. Khare, and U. P. Sukhatme, "Supersymmetry and quantum mechanics," Phys. Rep. 251, 267-385 (1995), and references contained therein.
10. A. Comtet, A. Bandrauk, and D. K. Campbell, "Exactness of semiclassical bound state energies for supersymmetric quantum mechanics," Phys. Lett. B 150, 159-162 (1985).
11. A. Khare, "How good is the supersymmetry inspired WKB quantization condition," Phys. Lett. B 161, 131-135 (1985).
12. K. Raghunathan, M. Seetharaman, and S. S. Vasan, "On the exactness of the SUSY semiclassical quantization rule," Phys. Lett. B 188, 351-352 (1987).
13. See, for example, p. 474 of Ref. 1 for an evaluation of these types of integrals.
14. R. S. Bhalla, A. K. Kapoor, and P. K. Panigrahi, "Exactness of supersymmetric WKB approximation scheme" (quant-ph/9512019), Phys. Rev. A (to be published).