Algebraic structure of quantum fluctuations
On the basis of the existence of second and third moments of fluctuations, we prove a theorem about the Lie-algebraic structure of fluctuation operators. This result gives insight into the quantum character of fluctuations. We illustrate the presence of a Lie algebra of fluctuation operators in a mo...
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| Published in | Journal of statistical physics Vol. 89; no. 3-4; pp. 633 - 653 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Springer Nature B.V
01.11.1997
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| Subjects | |
| Online Access | Get full text |
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| Abstract | On the basis of the existence of second and third moments of fluctuations, we prove a theorem about the Lie-algebraic structure of fluctuation operators. This result gives insight into the quantum character of fluctuations. We illustrate the presence of a Lie algebra of fluctuation operators in a model of the anharmonic crystal, and show the dependence of the Lie-algebra structure on the fine structure of the fluctuation operator algebra. The result is also applied to construct the normal Goldstone mode in the ideal Bose gas for Bose-Einstein condensation |
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| AbstractList | On the basis of the existence of second and third moments of fluctuations, we prove a theorem about the Lie-algebraic structure of fluctuation operators. This result gives insight into the quantum character of fluctuations. We illustrate the presence of a Lie algebra of fluctuation operators in a model of the anharmonic crystal, and show the dependence of the Lie-algebra structure on the fine structure of the fluctuation operator algebra. The result is also applied to construct the normal Goldstone mode in the ideal Bose gas for Bose-Einstein condensation |
| Author | Momont, B. Verbeure, A. Zagrebnov, V. A. |
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| CitedBy_id | crossref_primary_10_1016_j_physrep_2022_12_004 crossref_primary_10_1088_0305_4470_32_41_302 crossref_primary_10_1103_PhysRevE_89_042116 crossref_primary_10_1063_1_1424474 crossref_primary_10_1088_1742_5468_2013_10_P10019 crossref_primary_10_1088_1751_8121_aa84d2 |
| Cites_doi | 10.1007/BF02096872 10.1088/0305-4470/28/18/029 10.1007/BF01773346 10.1007/BF02179394 10.1007/BF01053796 10.1016/0378-4371(94)90341-7 10.1063/1.531343 10.1007/BF02782239 10.1103/PhysRev.147.94 10.1103/PhysRev.112.1900 10.1007/BF01013963 10.1007/BF01645173 10.1007/BF02812722 10.1073/pnas.39.6.510 10.1007/BF00341282 |
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| Copyright | Plenum Publishing Corporation 1997. |
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| References | A. Verbeure (BF02765539_CR6) 1992; 69 H. Stern (BF02765539_CR21) 1966; 147 P. W. Anderson (BF02765539_CR22) 1958; 112 BF02765539_CR10 BF02765539_CR11 E. Inönü (BF02765539_CR4) 1953; 39 D. Kastler (BF02765539_CR14) 1966; 2 M. Fannes (BF02765539_CR23) 1995; 68 BF02765539_CR15 A. Verbeure (BF02765539_CR7) 1995; 28 BF02765539_CR16 A. Car (BF02765539_CR9) 1994; 212 BF02765539_CR17 J. A. Swieca (BF02765539_CR13) 1967; 4 D. Goderis (BF02765539_CR1) 1989; 82 J. T. Lewis (BF02765539_CR20) 1988; 61 D. Goderis (BF02765539_CR2) 1990; 128 A. Verbeure (BF02765539_CR8) 1995; 79 R. H. Schonmann (BF02765539_CR24) 1990; 61 E. Inönü (BF02765539_CR5) 1952; 9 M. Broidioi (BF02765539_CR3) 1995; 36 M. Broidioi (BF02765539_CR19) 1991; 64 J. Goldstone (BF02765539_CR12) 1961; 19 M. Broidioi (BF02765539_CR18) 1993; 66 |
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| Title | Algebraic structure of quantum fluctuations |
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