Coherent states for transparent potentials

Journal of Physics A: Mathematical and General

Volumn 33, Issue 3, 2000, Pages 591-605

  Samsonov, Boris F ^a  

^a TOMSK STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034723115     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/3/312     Document Type: Article

References (49)

1. Perelomov A M 1986 Generalised Coherent States and Their Applications (Berlin: Springer)
2. Malkin I A and Man'ko V I 1979 Dynamical Symmetries and Coherent States of Quantum Systems (Moscow: Nauka)
3. Klauder J R and Skagerstam B-S 1985 Coherent States: Applications in Physics and Mathematical Physics (Singapore: World Scientific)
4. Berezin F A 1986 The Method of Second Quantization (Moscow: Nauka)
5. Vourdas A 1997 J. Phys. A: Math. Gen. 30 4867
6. Brif C and Mann A 1998 J. Phys. A: Math. Gen. 31 L9
7. Vourdas A 1996 Phys. Rev. A 54 4544
8. Klauder J R 1996 J. Phys. A: Math. Gen. 29 L293
9. Stahlhofen A A 1995 Phys. Rev. A 51 934
10. Matveev V and Salle M 1991 Darboux Transformations and Solitons (New York: Springer)
11. Vogel J, Vogel E and Toepffer C 1985 Ann. Phys., NY 164 463
12. Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 267
13. Nieto M and Simmons L 1978 Phys. Rev. Lett. 41 207
14. Bagrov V G and Samsonov B F 1996 Sov. Phys.-JETP 82 593 Bagrov V G and Samsonov B F 1996 J. Phys. A: Math. Gen. 29 1011
15. Bagrov V G and Samsonov B F 1996 Sov. Phys.-JETP 82 593 Bagrov V G and Samsonov B F 1996 J. Phys. A: Math. Gen. 29 1011
16. Samsonov B F 1996 Phys. Atom. Nucl. 59 720
17. Spiridonov V 1992 Phys. Rev. Lett. 69 398 Skorik S and Spiridonov V 1993 Lett. Math. Phys. 28 59
18. Spiridonov V 1992 Phys. Rev. Lett. 69 398 Skorik S and Spiridonov V 1993 Lett. Math. Phys. 28 59
19. Zhedanov A S 1993 J. Math. Phys. 34 2631
20. Fukui T and Aizawa N 1993 Phys. Lett. A 180 308
21. Spiridonov V 1995 Lett. Math. Phys. 35 179
22. Bagchi B, Ganguly A, Bhaumik D and Mitra A 1999 Mod. Phys. Lett. A 14 27
23. Spiridonov V 1995 Phys. Rev. A 52 1909 Gunker G and Roy P 1999 Phys. Lett. A 257 113
24. Spiridonov V 1995 Phys. Rev. A 52 1909 Gunker G and Roy P 1999 Phys. Lett. A 257 113
25. Bagrov V G and Samsonov B F 1996 Phys. Lett. A 210 60
26. Samsonov B F 1998 Sov. Phys.-JETP 87 1046
27. Samsonov B F 1997 J. Math. Phys. 38 4492
28. Faddeev L D 1959 Usp. Mat. Nauk. 14 57
29. Pursey D L 1986 Phys. Rev. D 33 2267
30. Miller W Jr 1977 Symmetry and Separation of Variables (London: Addison-Wesley)
31. Smirnov V I 1959 Advanced Course of Mathematics vol 5 (Moscow: Phys.-Math. Publishing State House)
32. Reed M and Simon B 1972 Methods of Modern Mathematical Physics. I. Functional Analysis (New York: Academic)
33. Gel'fand I M and Shilov G E 1957 1958 The Generalised Functions vol 1-3 (Moscow: Phys.-Math. Publishing State House)
34. Gel'fand I M and Vilenkin N Ya 1961 The Generalised Functions vol 4 (Moscow: Phys.-Math. Publishing State House)
35. Berezin F A and Shubin M A 1983 The Schrödinger Equation (Moscow: Moscow State University Press)
36. Montemayor R 1987 Phys. Rev. A 36 1562
37. Bagrov V G and Samsonov B F 1997 Phys. Part. Nucl. 28 374
38. Samsonov B F and Shekoyan L A 1998 Izv. Vuzov Fiz. 5 34 (Engl. transl. Russ. Phys. J.)
39. Bagrov V G and Samsonov B F 1995 Theor. Math. Phys. 104 1051
40. Andrianov A A, Ioffe M V and Spiridonov V P 1993 Phys. Lett. A 174 273
41. Kostuchenko A G and Sargsyan I S 1979 Distribution of Eigenvalues (Moscow: Nauka)
42. Dunford N and Schwartz J T 1963 Linear Operators. Part II. Spectral Theory. Self Adjoint Operators in Hilbert Space (New York: Interscience)
43. Gohberg I Ts and Krein M G 1965 Introduction in the Theory of Linear Nonselfadjoint Operators (Moscow: Nauka)
44. Shabat AB 1992 Inverse Problems 6 303 Degasperis A and Shabat A 1994 Theor. Math. Phys. 100 230
45. Shabat AB 1992 Inverse Problems 6 303 Degasperis A and Shabat A 1994 Theor. Math. Phys. 100 230
46. Daubechies I 1992 Ten Lectures in Wavelets (CBMS-NSF Regional Conference Series in Applied Mathematics vol 61) (Philadelphia, PA: SIAM)
47. Markushevich A I 1967 Theory of Analytic Functions vol 1, 2 (Moscow: Nauka)
48. Perelomov A M 1973 Funct. Anal. Appl. 7 57
49. Brif C and Mann A 1998 Phase space formulation of quantum mechanics and quantum state reconstruction for physical systems with Lie-group symmetries Preprint quant-ph/9809052 (http://xxx.lanl.gov)