Uncertainty relations for modified isotropic harmonic oscillator and Coulomb potentials

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 362, Issue 2-3, 2007, Pages 109-114

  Patil, S H ^a   Sen, K D ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

^b UNIVERSITY OF HYDERABAD   (India)

Author keywords

Central potentials in D dimensions; Davidson potential; Fisher information measure; H atom; Heisenberg uncertainty relation; Isotropic harmonic oscillator; Kratzer potential; Shannon entropy

Indexed keywords

ELECTRIC FIELDS; FISHER INFORMATION MATRIX; HARMONIC ANALYSIS; OSCILLATORS (MECHANICAL);

D DIMENSIONS; DAVIDSON; FISHER INFORMATION MEASURES; HARMONIC OSCILLATORS; HEISENBERG UNCERTAINTY RELATION; KRATZER POTENTIAL; SHANNON ENTROPY;

UNCERTAINTY ANALYSIS;

EID: 33846215137     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2006.11.045     Document Type: Article

References (55)

1. Heisenberg W. Z. Phys. 43 (1927) 172
2. Kennard E.H. Z. Phys. 44 (1927) 326
3. Tsapline B. Chem. Phys. Lett. 6 (1970) 596
4. Majernik V., and Richterek L. J. Phys. A: Math. Gen. 30 (1997) L49
5. Grypeoos M.E., Koutroulos C.G., Oyewumi K.J., and Petridou Th. J. Phys. A: Math. Gen. 37 (2004) 7895
6. Kuo C. Ann. Phys. 316 (2005) 431
7. Sen K.D., and Katriel J. J. Chem. Phys. 125 (2006) 074117
8. Davidson P.M. Proc. R. Soc. London A 135 (1932) 459
9. Rowe D.J., and Bahri C. J. Phys. A 38 (2005) 10181
10. Rowe D.J., and Bahri C. J. Phys. A 31 (1998) 4947
11. Gol'dman I.I., and Krivchenkov D.V. Problems in Quantum Mechanics (1961), Pergamon, London
12. Saad N., Hall R.L., and Katatbeh Q.D. J. Math. Phys. 46 (2005) 022104
13. Kratzer A. Z. Phys. 3 (1920) 289
14. Hall R.L., and Saad N. J. Chem. Phys. 109 (1998) 2983
15. Van Hooydonk G. Eur. J. Inorg. Chem. 10 (1999) 1617
16. Berkdemir C., Berkdemir A., and Han J. Chem. Phys. Lett. 417 (2006) 326
17. Moustafa O., and Mazharimousavi S.H. J. Phys. A 39 (2006) 10537
18. Vigo-Aguiar J., and Simos T.E. Int. J. Quantum Chem. 103 (2005) 278
19. O. Bayrak, O. Bostusun, C. Ciftci, Int. J. Quantum Chem. (2006), in press
20. Shannon C.E. Bell Syst. Tech. 27 (1948) 379
21. Shannon C.E. Bell Syst. Tech. 27 (1948) 623
22. Bialynicki-Birula I., and Mycielski J. Commun. Math. Phys. 44 (1975) 129
23. Fisher R.A. Proc. Cambridge Philos. Soc. 22 (1925) 700
24. Sen K.D. J. Chem. Phys. 122 (2005) 1943241 and references therein
25. Landau L.D., and Lifshitz E.M. Quantum Mechanics (1977), Pergamon, Oxford
26. Pasternak S. Proc. Natl. Acad. Soc. 23 (1937) 91
27. Kramers H.A. Quantum Mechanics (1957), North-Holland, Amsterdam
28. Frantz D.D., and Herschbach D.R. J. Chem. Phys. 92 (1990) 6668
29. S.B. Sears, Applications of information theory in chemical physics, PhD thesis, University of North Carolina at Chapel Hill, 1980
30. Gadre S.R., Sears S.B., Chakravorty S.J., and Bendale R.D. Phys. Rev. A 32 (1985) 2602
31. Gadre S.R. Phys. Rev. A 30 (1984) 620
32. Gadre S.R., and Bendale R.D. Int. J. Quantum Chem. 28 (1985) 311
33. Gadre S.R., Kulkarni S.A., and Shrivastava I.H. Chem. Phys. Lett. 16 (1990) 445
34. Gadre S.R., Bendale R.D., and Gejji S.P. Chem. Phys. Lett. 117 (1985) 138
35. Gadre S.R., and Bendale R.D. Curr. Sci. (India) 54 (1985) 970
36. Gadre S.R. In: Sen K.D. (Ed). Reviews of Modern Quantum Chemistry (2002), World Scientific, Singapore 108
37. Tripathi A.N., Smith Jr. V.H., Sagar R.P., and Esquivel R.O. Phys. Rev. A 54 (1996) 1877
38. Ho M., Weaver D.F., Smith Jr. V.H., Sagar R.P., and Esquivel R.O. Phys. Rev. A 57 (1998) 4512
39. Ho M., Smith Jr. V.H., Weaver D.F., Gatti C., Sagar R.P., and Esquivel R.O. J. Chem. Phys. 108 (1998) 5469
40. Ramirez J.C., Perez J.M.H., Sagar R.P., Esquivel R.O., Ho M., and Smith Jr. V.H. Phys. Rev. A 58 (1998) 3507
41. Ho M., Weaver D.F., Smith Jr. V.H., Sagar R.P., Esquivel R.O., and Yamamoto S. J. Chem. Phys. 109 (1998) 10620
42. Sagar R.P., Ramirez J.C., Esquivel R.O., Ho M., and Smith Jr. V.H. Phys. Rev. A 63 (2001) 022509
43. Guevara N.L., Sagar R.P., and Esquivel R.O. J. Chem. Phys. 119 (2003) 7030
44. Guevara N.L., Sagar R.P., and Esquivel R.O. J. Chem. Phys. 122 (2005) 084101
45. Shi Q., and Kais S. J. Chem. Phys. 121 (2004) 5611
46. Shi Q., and Kais S. J. Chem. Phys. 309 (2005) 127
47. Chatzisavvas K.Ch., Moustakidis Ch.C., and Panos C.P. J. Chem. Phys. 123 (2005) 174111
48. Romera E., Sanchez-Moreno P., and Dehesa J.S. Chem. Phys. Lett. 414 (2005) 468
49. Dehesa J.S., Lopez-Rosa S., Olmos B., and Yanez R.J. J. Math. Phys. 47 (2006) 052104
50. E. Romera, P. Sanchez-Moreno, J.S. Dehesa, J. Math. Phys., in press
51. P. Sanchez-Moreno, R. Gonzales-Ferez, J.S. Dehesa, New J. Phys., submitted for publication. We thank the authors for sharing this work in advance of publication
52. Frieden B.R. Science from Fisher Information (2004), Cambridge Univ. Press, Cambridge
53. Rao C.R. Linear Statistical Interference and its Applications (1965), Wiley, New York
54. Stam A. Inf. Control 2 (1959) 101
55. Bialynicki-Birula I. Phys. Rev. A 74 (2006) 052101