Quantum-information entropies of the eigenstates and the coherent state of the Pöschl-Teller potential

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 69, Issue 5 A, 2004, Pages

  Atre, Rajneesh ^a,b   Kumar, Anil ^c   Kumar, Nagaraja ^c   Panigrahi, Prasanta K ^a,b  

^a PHYSICAL RESEARCH LABORATORY   (India)

^b UNIVERSITY OF HYDERABAD   (India)

^c PANJAB UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ENTROPY; FOURIER TRANSFORMS; GROUND STATE; HARMONIC GENERATION; INTEGRATION; NONLINEAR EQUATIONS; OSCILLATORS (ELECTRONIC); POLYNOMIALS; SOLITONS;

ENTROPY DENSITIES; INFORMATION ENTROPIES; MOMENTUM SPACE ENTROPY; SPACE-TIME FLOW;

QUANTUM THEORY;

EID: 3042771513     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.69.052107     Document Type: Article

References (50)

1. H. Everett, The Many-Worlds Interpretation of Quantum Mechanics (Princeton University Press, Princeton, NJ, 1973).
2. I. I. Hirschman, Am. J. Math. 79, 152 (1957).
3. W. Beckner, Ann. Math. 102, 159 (1975); I. Bialynicki-Birula and J. Mycielski, Commun. Math. Phys. 44, 129 (1975).
4. W. Beckner, Ann. Math. 102, 159 (1975); I. Bialynicki-Birula and J. Mycielski, Commun. Math. Phys. 44, 129 (1975).
5. D. Deutsch, Phys. Rev. Lett. 50, 631 (1983).
6. M. H. Partovi, Phys. Rev. Lett. 50, 1883 (1983).
7. I. Bialynicki-Birula, Phys. Lett. 103A, 253 (1984).
8. V. V. Dodonov and V. I. Manko, Lebedev Inst. Papers 183, 5 (1987).
9. H. Massen and J. B. M. Uffink, Phys. Rev. Lett. 60, 1103 (1988).
10. J. Sánchez-Ruiz, Phys. Lett. A 181, 193 (1993).
11. M. Krishna and K. R. Parthasarathy, e-print quant-ph/0110025.
12. S. Abe and A. K. Rajagopal, J. Phys. A 34, 8727 (2001).
13. S. Abe, S. Martínez, F. Pennini, and A. Plastino, Phys. Lett. A 295, 74 (2002).
14. C. E. Shannon, Bell Syst. Tech. J. 27, 379 (1948); 27, 623 (1948).
15. C. E. Shannon, Bell Syst. Tech. J. 27, 379 (1948); 27, 623 (1948).
16. J. S. Dehesa, A. Martínez-Finkelshtein, and J. Sánchez-Ruiz, J. Comput. Appl. Math. 133, 23 (2001).
17. A. K. Rajagopal, Phys. Lett. A 205, 32 (1995), and references therein.
18. A. Wehrl, Rev. Mod. Phys. 50, 221 (1978).
19. A. Wehrl, Rep. Math. Phys. 16, 353 (1979).
20. D. Petz, e-print quant-ph/010201.
21. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964); W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965).
22. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964); W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965).
23. V. Majerník and T. Opatrný, J. Phys. A 29, 2187 (1996).
24. R. J. Yáñez, W. Van Assche, and J. S. Dehesa, Phys. Rev. A 50, 3065 (1994).
25. S. R. Gadre, Phys. Rev. A 30, 620 (1983).
26. S. R. Gadre, S. B. Sears, S. J. Chakravorty, and R. D. Bendale, Phys. Rev. A 32, 2602 (1985).
27. S. Abe and N. Suzuki, Phys. Rev. A 41, 4608 (1990).
28. V. Majerník and L. Richterek, J. Phys. A 30, L49 (1997).
29. V. Majerník and L. Richterek, Eur. J. Phys. 18, 79 (1997).
30. M. S. Santhanam, V. B. Sheorey, and A. Lakshminarayan, Phys. Rev. E 57, 345 (1998).
31. V. S. Buyarov, J. H. Dehesa, and A. Martínez-Finkelshtein, J. Approx. Theory 99, 153 (1999).
32. M. S. Santhanam, e-print quant-ph/0308147.
33. G. C. Ghirardi, L. Marinatto, and R. Romano, Phys. Lett. A 317, 32 (2003).
34. V. S. Buyarov, Vestn. Mosk. Univ., Ser. 1: Mat., Mekh. 6, 8 (1997).
35. V. S. Buyarov, P. López-Artés, A. Martínez- Finkelshtein, and W. Van Assche, J. Phys. A 33, 6549 (2000).
36. N. Balakrishnan and N. Sathyamurthy, Chem. Phys. Lett. 164, 267 (1989).
37. G. S. Agarwal and J. Banerji, Opt. Lett. 27, 800 (2002).
38. S. Abe, Phys. Lett. A 166, 163 (1992).
39. A. R. González, J. A. Vaccaro, and S. M. Barnett, Phys. Lett. A 205, 247 (1995).
40. M. W. Coffey, J. Phys. A 36, 7441 (2003).
41. V. Ferrari and B. Mashhoon, Phys. Rev. D 30, 295 (1984).
42. A. K. Rajagopal and S. Teitler, Phys. Lett. A 115, 313 (1986).
43. A. Das, Integrable Models (World Scientific, Singapore, 1989).
44. C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, England, 2001), and references therein.
45. D. P. Jatkar, Nucl. Phys. B 395, 167 (1993); E. Witten, Phys. Rev. D 44, 314 (1991).
46. D. P. Jatkar, Nucl. Phys. B 395, 167 (1993); E. Witten, Phys. Rev. D 44, 314 (1991).
47. R. Bluhm, A. Kostelecky, and J. Porter, Am. J. Phys. 64, 944 (1996).
48. H. Mack, M. Bienert, F. Haug, M. Freyberger, and W. P. Schleich, e-print quant-ph/0208021.
49. B. Deconinck, J. N. Kutz, M. S. Patterson, and B. W. Warner, J. Phys. A 36, 5431 (2003).
50. T. Shreecharan, P. K. Panigrahi, and J. Banerji, Phys. Rev. A 69, 012102 (2004).