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Physica A: Statistical Mechanics and its Applications

Volumn 256, Issue 1-2, 1998, Pages 87-111

Generalized Moyal structures in phase-space, master equations and their classical limit I. General formalism

(2) Tzanakis, Constantinos a Grecos, Alkis P b

a UNIVERSITY OF CRETE (Greece)

b UNIVERSITÉ LIBRE DE BRUXELLES (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

MARKOV PROCESSES; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; PHASE SPACE METHODS; STATISTICAL MECHANICS;

FOKKER-PLANCK EQUATION; GENERALIZED MOYAL STRUCTURES; QUANTUM DYNAMICAL SEMIGROUP; QUANTUM OPERATORS; WEYL TRANSFORMS; WIGNER TRANSFORMS;

QUANTUM THEORY;

EID: 0032115046 PISSN: 03784371 EISSN: None Source Type: Journal
DOI: 10.1016/S0378-4371(98)00107-1 Document Type: Article

Times cited : (3)

References (78)

1
- 0347054918
- Ch. 4, Section 14, Dover, New York
- H. Weyl, The Theory of Groups and QM, Ch. 4, Section 14, Dover, New York, 1950; E.P. Wigner, Phys. Rev. 40 (1932) 749.
- (1950) The Theory of Groups and QM
- Weyl, H.¹

2
- 33745014742
- H. Weyl, The Theory of Groups and QM, Ch. 4, Section 14, Dover, New York, 1950; E.P. Wigner, Phys. Rev. 40 (1932) 749.
- (1932) Phys. Rev. , vol.40 , pp. 749
- Wigner, E.P.¹

3
- 84952911698
- J.E. Moyal, Proc. Cambridge Phil. Soc. 45 (1949) 99.
- (1949) Proc. Cambridge Phil. Soc. , vol.45 , pp. 99
- Moyal, J.E.¹

4
- 0001031543
- G.S. Agarwal, E. Wolf, Phys. Rev. D 2 (1970) 2161, 2187, 2206.
- (1970) Phys. Rev. D , vol.2 , pp. 2161
- Agarwal, G.S.¹ Wolf, E.²

5
- 34547303281
- M. Hillery, R.F. O'Conell, M.O. Scully, E.P. Wigner, Phys. Rep. 106 (1984) 121.
- (1984) Phys. Rep. , vol.106 , pp. 121
- Hillery, M.¹ O'Conell, R.F.² Scully, M.O.³ Wigner, E.P.⁴

6
- 0002565536
- J.G. Krüger, A. Poffyn, Physica A 85 (1976) 84.
- (1976) Physica A , vol.85 , pp. 84
- Krüger, J.G.¹ Poffyn, A.²

7
- 0040225069
- G.V. Dunne, J. Phys. A 21 (1988) 2321.
- (1988) J. Phys. A , vol.21 , pp. 2321
- Dunne, G.V.¹

8
- 0141582037
- L. Cohen, J. Math. Phys. 7 (1966) 781.
- (1966) J. Math. Phys. , vol.7 , pp. 781
- Cohen, L.¹

9
- 4243870641
- H-W. Lee, Phys. Rep. 259 (1995) 147.
- (1995) Phys. Rep. , vol.259 , pp. 147
- Lee, H.-W.¹

10
- 0006700819
- G.C. Summerfield, P.F. Zweifel, J. Math. Phys. 10 (1969) 233.
- (1969) J. Math. Phys. , vol.10 , pp. 233
- Summerfield, G.C.¹ Zweifel, P.F.²

11
- 0003689574
- Wiley, New York
- W.H. Louisell, Quantum Statistical Properties of Radiation, Wiley, New York, 1973.
- (1973) Quantum Statistical Properties of Radiation
- Louisell, W.H.¹

12
- 0004300111
- Springer, Berlin
- C.W. Gardiner, Handbook of Stochastic Methods, Springer, Berlin, 1985.
- (1985) Handbook of Stochastic Methods
- Gardiner, C.W.¹

13
- 0003945118
- Wiley, New York
- R. Balescu, Statistical Mechanics of Charged Particles, Wiley, New York, 1963.
- (1963) Statistical Mechanics of Charged Particles
- Balescu, R.¹

14
- 0001236724
- J. De Boer, G.E. Uhlenbeck (Eds.), North Holland, Amsterdam
- H. Mori, I. Oppenheim, J. Ross, in: J. De Boer, G.E. Uhlenbeck (Eds.), Studies in Statistical Mechanics, vol. I, North Holland, Amsterdam, 1962; Y.S. Kim, W.W. Zachary, The Physics of Phase Space, Lecture Notes in Physics, vol. 278, Springer, Berlin, 1987.
- (1962) Studies in Statistical Mechanics , vol.1
- Mori, H.¹ Oppenheim, I.² Ross, J.³

15
- 0003938094
- The Physics of Phase Space
- Springer, Berlin
- H. Mori, I. Oppenheim, J. Ross, in: J. De Boer, G.E. Uhlenbeck (Eds.), Studies in Statistical Mechanics, vol. I, North Holland, Amsterdam, 1962; Y.S. Kim, W.W. Zachary, The Physics of Phase Space, Lecture Notes in Physics, vol. 278, Springer, Berlin, 1987.
- (1987) Lecture Notes in Physics , vol.278
- Kim, Y.S.¹ Zachary, W.W.²

16
- 0003589745
- chs. 2, 3, 15-18, Wiley, New York
- R. Balescu, Equilibrium and Non-Equilibrium Statistical Mechanics, chs. 2, 3, 15-18, Wiley, New York, 1975.
- (1975) Equilibrium and Non-Equilibrium Statistical Mechanics
- Balescu, R.¹

17
- 0001452799
- P. Carruthers, F.J. Zachariasen, Rev. Mod. Phys. 55 (1983) 245.
- (1983) Rev. Mod. Phys. , vol.55 , pp. 245
- Carruthers, P.¹ Zachariasen, F.J.²

18
- 38049104628
- NY
- J.C. Várilly, J.M. Gracia-Bondía, Ann. Phys. (NY) 190 (1989) 107.
- (1989) Ann. Phys. , vol.190 , pp. 107
- Várilly, J.C.¹ Gracia-Bondía, J.M.²

19
- 34948832288
- F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, D. Sternheimer, Ann. Phys. 110 (1978) 111.
- (1978) Ann. Phys. , vol.110 , pp. 111
- Bayen, F.¹ Flato, M.² Fronsdal, C.³ Lichnerowicz, A.⁴ Sternheimer, D.⁵

20
- 0347054915
- M. Gadella, J.M. Gracia-Bondía, L.M. Nieto, J.C. Várilly, J. Phys. A 22 (1989) 2709.
- (1989) J. Phys. A , vol.22 , pp. 2709
- Gadella, M.¹ Gracia-Bondía, J.M.² Nieto, L.M.³ Várilly, J.C.⁴

21
- 33744769996
- NY
- F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, D. Sternheimer, Ann. Phys. (NY) 110 (1978) 61.
- (1978) Ann. Phys. , vol.110 , pp. 61
- Bayen, F.¹ Flato, M.² Fronsdal, C.³ Lichnerowicz, A.⁴ Sternheimer, D.⁵

22
- 3543009193
- G. Lindblad, Comm. Math. Physics 48 (1976) 119.
- (1976) Comm. Math. Physics , vol.48 , pp. 119
- Lindblad, G.¹

23
- 36749106315
- V. Gorini, A. Kossakowski, E.C.G. Sudarshan, J. Math. Phys. 17 (1976) 821.
- (1976) J. Math. Phys. , vol.17 , pp. 821
- Gorini, V.¹ Kossakowski, A.² Sudarshan, E.C.G.³

24
- 0002335432
- E.B. Davies, Comm. Math. Physics 39 (1974) 91.
- (1974) Comm. Math. Physics , vol.39 , pp. 91
- Davies, E.B.¹

25
- 35949020007
- H. Spohn, Rev. Mod. Phys. 53 (1980) 569.
- (1980) Rev. Mod. Phys. , vol.53 , pp. 569
- Spohn, H.¹

26
- 0001389764
- A. Isar, W. Scheid, A. Sandulescu, J. Math. Physics 32 (1991) 2128.
- (1991) J. Math. Physics , vol.32 , pp. 2128
- Isar, A.¹ Scheid, W.² Sandulescu, A.³

27
- 0000406855
- R.F. O'Connell, E.P. Wigner, Phys. Lett. A 85 (1981) 121.
- (1981) Phys. Lett. A , vol.85 , pp. 121
- O'Connell, R.F.¹ Wigner, E.P.²

28
- 0000029918
- K. Imre, E. Özimir, M. Rosenbaum, P.F. Zweifel, J. Math. Phys. 8 (1967) 1097.
- (1967) J. Math. Phys. , vol.8 , pp. 1097
- Imre, K.¹ Özimir, E.² Rosenbaum, M.³ Zweifel, P.F.⁴

29
- 26144477691
- D. Tamme, Physica A 213 (1995) 391; D.M. Brink, M. di Toro, Nucl. Phys. A 372 (1981) 151; I. Oppenheim, V. Romero-Rochin, Physica A 147 (1987) 184; Y.N. Orlov, I.P. Pavlotsky, Physica A 158 (1989) 607; E. Calzetta, Physica A 158 (1989) 261.
- (1995) Physica A , vol.213 , pp. 391
- Tamme, D.¹

30
- 0011459805
- D. Tamme, Physica A 213 (1995) 391; D.M. Brink, M. di Toro, Nucl. Phys. A 372 (1981) 151; I. Oppenheim, V. Romero-Rochin, Physica A 147 (1987) 184; Y.N. Orlov, I.P. Pavlotsky, Physica A 158 (1989) 607; E. Calzetta, Physica A 158 (1989) 261.
- (1981) Nucl. Phys. A , vol.372 , pp. 151
- Brink, D.M.¹ Di Toro, M.²

31
- 0345087502
- D. Tamme, Physica A 213 (1995) 391; D.M. Brink, M. di Toro, Nucl. Phys. A 372 (1981) 151; I. Oppenheim, V. Romero-Rochin, Physica A 147 (1987) 184; Y.N. Orlov, I.P. Pavlotsky, Physica A 158 (1989) 607; E. Calzetta, Physica A 158 (1989) 261.
- (1987) Physica A , vol.147 , pp. 184
- Oppenheim, I.¹ Romero-Rochin, V.²

32
- 26144452104
- D. Tamme, Physica A 213 (1995) 391; D.M. Brink, M. di Toro, Nucl. Phys. A 372 (1981) 151; I. Oppenheim, V. Romero-Rochin, Physica A 147 (1987) 184; Y.N. Orlov, I.P. Pavlotsky, Physica A 158 (1989) 607; E. Calzetta, Physica A 158 (1989) 261.
- (1989) Physica A , vol.158 , pp. 607
- Orlov, Y.N.¹ Pavlotsky, I.P.²

33
- 0346424522
- D. Tamme, Physica A 213 (1995) 391; D.M. Brink, M. di Toro, Nucl. Phys. A 372 (1981) 151; I. Oppenheim, V. Romero-Rochin, Physica A 147 (1987) 184; Y.N. Orlov, I.P. Pavlotsky, Physica A 158 (1989) 607; E. Calzetta, Physica A 158 (1989) 261.
- (1989) Physica A , vol.158 , pp. 261
- Calzetta, E.¹

34
- 0009254475
- A.P. Grecos, C. Tzanakis, Physica A 151 (1988) 61.
- (1988) Physica A , vol.151 , pp. 61
- Grecos, A.P.¹ Tzanakis, C.²

35
- 0040603130
- C. Tzanakis, A.P. Grecos, Physica A 149 (1988) 232.
- (1988) Physica A , vol.149 , pp. 232
- Tzanakis, C.¹ Grecos, A.P.²

36
- 0039628818
- J-B. Kammerer, J. Math. Phys. 27 (1986) 529; Com. Ren. Acad. Sci. Paris serie I 295 (1982) 317.
- (1986) J. Math. Phys. , vol.27 , pp. 529
- Kammerer, J.-B.¹

37
- 0039628818
- J-B. Kammerer, J. Math. Phys. 27 (1986) 529; Com. Ren. Acad. Sci. Paris serie I 295 (1982) 317.
- (1982) Com. Ren. Acad. Sci. Paris Serie I , vol.295 , pp. 317

38
- 0347685443
- preprint (q-alg 9605018)
- C. Tzanakis, A. Dimakis, On the uniqueness of the Moyal structure of phase space functions, preprint 1996 (q-alg 9605018).
- (1996) On the Uniqueness of the Moyal Structure of Phase Space Functions
- Tzanakis, C.¹ Dimakis, A.²

39
- 0000066016
- P. Fletcher, Phys. Lett. B 248 (1990) 323.
- (1990) Phys. Lett. B , vol.248 , pp. 323
- Fletcher, P.¹

40
- 0040942760
- M. Flato, A. Lichnerowicz, D. Sternheimer, Com. Ren. Acad. Sci. Paris serie A 283 (1976) 19.
- (1976) Com. Ren. Acad. Sci. Paris Serie A , vol.283 , pp. 19
- Flato, M.¹ Lichnerowicz, A.² Sternheimer, D.³

41
- 0001893772
- theorems 2.11, 3.5
- W. Arveson, Comm. Math. Phys. 89 (1983) 77, theorems 2.11, 3.5.
- (1983) Comm. Math. Phys. , vol.89 , pp. 77
- Arveson, W.¹

42
- 0001555225
- N.L. Balazs, B.K. Jennings, Phys. Rep. 104 (1984) 347.
- (1984) Phys. Rep. , vol.104 , pp. 347
- Balazs, N.L.¹ Jennings, B.K.²

43
- 0001218355
- R.L. Hudson, Rep. Math. Phys. 6 (1974) 249; A.J.E.M. Janssen, SIAM J. Math. Analysis 15 (1984) 170; F. Soto, P. Claverie, J. Math. Phys. 24 (1983) 97.
- (1974) Rep. Math. Phys. , vol.6 , pp. 249
- Hudson, R.L.¹

44
- 0001218355
- R.L. Hudson, Rep. Math. Phys. 6 (1974) 249; A.J.E.M. Janssen, SIAM J. Math. Analysis 15 (1984) 170; F. Soto, P. Claverie, J. Math. Phys. 24 (1983) 97.
- (1984) SIAM J. Math. Analysis , vol.15 , pp. 170
- Janssen, A.J.E.M.¹

45
- 36749120013
- R.L. Hudson, Rep. Math. Phys. 6 (1974) 249; A.J.E.M. Janssen, SIAM J. Math. Analysis 15 (1984) 170; F. Soto, P. Claverie, J. Math. Phys. 24 (1983) 97.
- (1983) J. Math. Phys. , vol.24 , pp. 97
- Soto, F.¹ Claverie, P.²

46
- 0009205975
- D. Kastler, Comm. Math. Phys. 1 (1965) 14; G. Loupias, S. Miracle-Sole, Comm. Math. Phys. 2 (1966) 31; Ann. Inst. H. Poincaré 6 (1967) 39; F. Narcowich J. Math. Phys. 30 (1989) 2565; 29 (1988) 2036.
- (1965) Comm. Math. Phys. , vol.1 , pp. 14
- Kastler, D.¹

47
- 0347054901
- D. Kastler, Comm. Math. Phys. 1 (1965) 14; G. Loupias, S. Miracle-Sole, Comm. Math. Phys. 2 (1966) 31; Ann. Inst. H. Poincaré 6 (1967) 39; F. Narcowich J. Math. Phys. 30 (1989) 2565; 29 (1988) 2036.
- (1966) Comm. Math. Phys. , vol.2 , pp. 31
- Loupias, G.¹ Miracle-Sole, S.²

48
- 0009205975
- D. Kastler, Comm. Math. Phys. 1 (1965) 14; G. Loupias, S. Miracle-Sole, Comm. Math. Phys. 2 (1966) 31; Ann. Inst. H. Poincaré 6 (1967) 39; F. Narcowich J. Math. Phys. 30 (1989) 2565; 29 (1988) 2036.
- (1967) Ann. Inst. H. Poincaré , vol.6 , pp. 39

49
- 0345793572
- D. Kastler, Comm. Math. Phys. 1 (1965) 14; G. Loupias, S. Miracle-Sole, Comm. Math. Phys. 2 (1966) 31; Ann. Inst. H. Poincaré 6 (1967) 39; F. Narcowich J. Math. Phys. 30 (1989) 2565; 29 (1988) 2036.
- (1989) J. Math. Phys. , vol.30 , pp. 2565
- Narcowich, F.¹

50
- 0039173177
- D. Kastler, Comm. Math. Phys. 1 (1965) 14; G. Loupias, S. Miracle-Sole, Comm. Math. Phys. 2 (1966) 31; Ann. Inst. H. Poincaré 6 (1967) 39; F. Narcowich J. Math. Phys. 30 (1989) 2565; 29 (1988) 2036.
- (1988) J. Math. Phys. , vol.29 , pp. 2036

51
- 0040225070
- R. Jagannathan, R. Simon, E.C.G. Sudarshan, R. Vasuderan, Phys. Lett. A 120 (1987) 161.
- (1987) Phys. Lett. A , vol.120 , pp. 161
- Jagannathan, R.¹ Simon, R.² Sudarshan, E.C.G.³ Vasuderan, R.⁴

52
- 0007603002
- D.M. Davidović, D. Lalović, Physica A 182 (1992) 643.
- (1992) Physica A , vol.182 , pp. 643
- Davidović, D.M.¹ Lalović, D.²

53
- 26144460294
- eq. (7.2)
- B.V. Bondarev, Physica A 176 (1991) 366, eq. (7.2).
- (1991) Physica A , vol.176 , pp. 366
- Bondarev, B.V.¹

54
- 0347685441
- preprint
- C. Tzanakis, A.P. Grecos, Classical Markovian kinetic equations: Explicit form and H-theorem (preprint 1996).
- (1996) Classical Markovian Kinetic Equations: Explicit Form and H-theorem
- Tzanakis, C.¹ Grecos, A.P.²

55
- 0039417678
- A. Frigerio, V. Gorini, J. Math. Phys. 25 (1984) 1050.
- (1984) J. Math. Phys. , vol.25 , pp. 1050
- Frigerio, A.¹ Gorini, V.²

56
- 33846791634
- K. Hepp, Comm. Math. Phys. 35 (1974) 265; J.V. Pulé, A. Verbeure, J. Math. Phys. 20 (1979) 733.
- (1974) Comm. Math. Phys. , vol.35 , pp. 265
- Hepp, K.¹

57
- 36749120765
- K. Hepp, Comm. Math. Phys. 35 (1974) 265; J.V. Pulé, A. Verbeure, J. Math. Phys. 20 (1979) 733.
- (1979) J. Math. Phys. , vol.20 , pp. 733
- Pulé, J.V.¹ Verbeure, A.²

58
- 0347685435
- G. Toraldo di Francia (Ed.) North-Holland, Amsterdam
- I. Prigogine, A.P. Grecos, in: G. Toraldo di Francia (Ed.) Problems in the Foundations of Physics, North-Holland, Amsterdam, 1979.
- (1979) Problems in the Foundations of Physics
- Prigogine, I.¹ Grecos, A.P.²

59
- 0347685436
- S. Pnevmatikos (Ed.), North-Holland, Amsterdam
- A.P. Grecos, in: S. Pnevmatikos (Ed.), Singularities and Dynamical Systems, North-Holland, Amsterdam, 1983.
- (1983) Singularities and Dynamical Systems
- Grecos, A.P.¹

60
- 0009176170
- C. Tzanakis, Physica A 151 (1988) 90.
- (1988) Physica A , vol.151 , pp. 90
- Tzanakis, C.¹

61
- 0039959760
- Joint Institute of Nuclear Research, Dubna, eq. (2.27)
- N.N. Bogolubov, On the stochastic processes in the dynamical systems, Joint Institute of Nuclear Research, Dubna, 1977, eq. (2.27).
- (1977) On the Stochastic Processes in the Dynamical Systems
- Bogolubov, N.N.¹

62
- 40549091061
- eq. (19.3)
- N.G. van Kampen, Phys. Rep. 24 (1976), 171, eq. (19.3).
- (1976) Phys. Rep. , vol.24 , pp. 171
- Van Kampen, N.G.¹

63
- 26144468420
- M.A. Despósito, E.S. Hernández, Phys. Rev. A 46 (1992) 7510.
- (1992) Phys. Rev. A , vol.46 , pp. 7510
- Despósito, M.A.¹ Hernández, E.S.²

64
- 0001078990
- section 2 and p. 239, eq. (3.5)
- N.G. van Kampen, I. Oppenheim, Physica A 138 (1986) 231, section 2 and p. 239, eq. (3.5).
- (1986) Physica A , vol.138 , pp. 231
- Van Kampen, N.G.¹ Oppenheim, I.²

65
- 0009177930
- eq. (15)
- V. Rudyak, I. Ershov, Physica A 219 (1995) 351, eq. (15).
- (1995) Physica A , vol.219 , pp. 351
- Rudyak, V.¹ Ershov, I.²

66
- 0009176893
- section 3, eq. (29)
- J. Piasecki, G. Szamel, Physica A 143 (1987) 114, section 3, eq. (29); S.A. Aldeman, J. Chem. Phys. 64 (1976) 124, eq. (3.19); M. Tokuyama, Physica A 169 (1990) 147, eq. (4.9a); P. Grigolini, in: F. Moss, P.V.E. McClintock (Eds.) Noise in Nonlinear Dynamical Systems, vol. I, 1988, ch. 5, eq. (58).
- (1987) Physica A , vol.143 , pp. 114
- Piasecki, J.¹ Szamel, G.²

67
- 0009176893
- eq. (3.19)
- J. Piasecki, G. Szamel, Physica A 143 (1987) 114, section 3, eq. (29); S.A. Aldeman, J. Chem. Phys. 64 (1976) 124, eq. (3.19); M. Tokuyama, Physica A 169 (1990) 147, eq. (4.9a); P. Grigolini, in: F. Moss, P.V.E. McClintock (Eds.) Noise in Nonlinear Dynamical Systems, vol. I, 1988, ch. 5, eq. (58).
- (1976) J. Chem. Phys. , vol.64 , pp. 124
- Aldeman, S.A.¹

68
- 0009099740
- eq. (4.9a)
- J. Piasecki, G. Szamel, Physica A 143 (1987) 114, section 3, eq. (29); S.A. Aldeman, J. Chem. Phys. 64 (1976) 124, eq. (3.19); M. Tokuyama, Physica A 169 (1990) 147, eq. (4.9a); P. Grigolini, in: F. Moss, P.V.E. McClintock (Eds.) Noise in Nonlinear Dynamical Systems, vol. I, 1988, ch. 5, eq. (58).
- (1990) Physica A , vol.169 , pp. 147
- Tokuyama, M.¹

69
- 0009176893
- F. Moss, P.V.E. McClintock (Eds.) ch. 5, eq. (58)
- J. Piasecki, G. Szamel, Physica A 143 (1987) 114, section 3, eq. (29); S.A. Aldeman, J. Chem. Phys. 64 (1976) 124, eq. (3.19); M. Tokuyama, Physica A 169 (1990) 147, eq. (4.9a); P. Grigolini, in: F. Moss, P.V.E. McClintock (Eds.) Noise in Nonlinear Dynamical Systems, vol. I, 1988, ch. 5, eq. (58).
- (1988) Noise in Nonlinear Dynamical Systems , vol.1
- Grigolini, P.¹

70
- 84983846613
- section 3, eq. (3.15) p. 178
- T.W. Marshall, Physica A 103 (1980) 172, section 3, eq. (3.15) p. 178.
- (1980) Physica A , vol.103 , pp. 172
- Marshall, T.W.¹

71
- 0000428232
- eq. (3.14)
- M. de Haan, Physica A 164 (1990) 373, eq. (3.14); J. Javanainen, J. Phys. B 18 (1985) 1549, p. 1562, eq. (60).
- (1990) Physica A , vol.164 , pp. 373
- De Haan, M.¹

72
- 0347054908
- eq. (60)
- M. de Haan, Physica A 164 (1990) 373, eq. (3.14); J. Javanainen, J. Phys. B 18 (1985) 1549, p. 1562, eq. (60).
- (1985) J. Phys. B , vol.18 , pp. 1549
- Javanainen, J.¹

73
- 22244459781
- eqs. (2.10), (2.13)
- E.S. Hernández, M.A. Despósito, Physica A 214 (1995) 115, eqs. (2.10), (2.13); L.D. Blanga, M.A. Despósito, Physica A 227 (1996) 248, eqs. (2.5), (2.7); S. Jang, Physica A 175 (1991) 420, eq. (9).
- (1995) Physica A , vol.214 , pp. 115
- Hernández, E.S.¹ Despósito, M.A.²

74
- 0347685437
- eqs. (2.5), (2.7)
- E.S. Hernández, M.A. Despósito, Physica A 214 (1995) 115, eqs. (2.10), (2.13); L.D. Blanga, M.A. Despósito, Physica A 227 (1996) 248, eqs. (2.5), (2.7); S. Jang, Physica A 175 (1991) 420, eq. (9).
- (1996) Physica A , vol.227 , pp. 248
- Blanga, L.D.¹ Despósito, M.A.²

75
- 0009306902
- eq. (9)
- E.S. Hernández, M.A. Despósito, Physica A 214 (1995) 115, eqs. (2.10), (2.13); L.D. Blanga, M.A. Despósito, Physica A 227 (1996) 248, eqs. (2.5), (2.7); S. Jang, Physica A 175 (1991) 420, eq. (9).
- (1991) Physica A , vol.175 , pp. 420
- Jang, S.¹

76
- 0000187146
- eqs. (2.8), (2.9), (2.19), (3.14)
- S.S. Hassan, M.R. Wahiddin, R. Saunders, R.K. Bullough, Physica A 215 (1995) 556, eqs. (2.8), (2.9), (2.19), (3.14).
- (1995) Physica A , vol.215 , pp. 556
- Hassan, S.S.¹ Wahiddin, M.R.² Saunders, R.³ Bullough, R.K.⁴

77
- 21344483240
- C. Tzanakis, Nuovo Cimento B 108 (1993) 339.
- (1993) Nuovo Cimento B , vol.108 , pp. 339
- Tzanakis, C.¹

78
- 0004007151
- Ch. II, Academic Press, New York
- I.M. Gel'fand, N.Y. Vilenkin, Generalized Functions: Applications of Harmonic Analysis, Ch. II, Academic Press, New York, 1964.
- (1964) Generalized Functions: Applications of Harmonic Analysis
- Gel'fand, I.M.¹ Vilenkin, N.Y.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.