The fermion number processes as a functional central limit of quantum hamiltonian models

L. Accardi; Y. G. Lu

Annales de l'I.H.P. Physique théorique (1993)

  • Volume: 58, Issue: 2, page 127-153
  • ISSN: 0246-0211

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Accardi, L., and Lu, Y. G.. "The fermion number processes as a functional central limit of quantum hamiltonian models." Annales de l'I.H.P. Physique théorique 58.2 (1993): 127-153. <http://eudml.org/doc/76600>.

@article{Accardi1993,
author = {Accardi, L., Lu, Y. G.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {quantum Hamiltonian model; quantum stochastic differential equation},
language = {eng},
number = {2},
pages = {127-153},
publisher = {Gauthier-Villars},
title = {The fermion number processes as a functional central limit of quantum hamiltonian models},
url = {http://eudml.org/doc/76600},
volume = {58},
year = {1993},
}

TY - JOUR
AU - Accardi, L.
AU - Lu, Y. G.
TI - The fermion number processes as a functional central limit of quantum hamiltonian models
JO - Annales de l'I.H.P. Physique théorique
PY - 1993
PB - Gauthier-Villars
VL - 58
IS - 2
SP - 127
EP - 153
LA - eng
KW - quantum Hamiltonian model; quantum stochastic differential equation
UR - http://eudml.org/doc/76600
ER -

References

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  1. [1] L. Accardi and Y.G. Lu, The Number Process as Low Density Limit of Hamiltonian Models, Commu. Math. Phys., Vol. 637, 1991, pp. 1-31. Zbl0738.60099MR1133258
  2. [2] L. Accardi and Y.G. Lu, Low Density Limit: The Finite Temperature Case, Nagoya Math. Journ., Vol. 126, 1992, pp. 25-87. Zbl0806.46080MR1171593
  3. [3] Y.G. Lu, Low Density Limit: Without Rotating Wave Approximation, Rep. Math. Phys. (to appear). Zbl0885.46058MR1400387
  4. [4] L. Accardi and Y.G. Lu, The Low Density Limit: Langevin Equation of Boson Fock Case, Ideas and methods in Mathematics and Physics (to appear). 
  5. [5] L. Accardi and Y.G. Lu, The low density limit for quantum systems, J. Phys. A: Math. and Gene, Vol. 24, 1991. Zbl0745.60106MR1123634
  6. [6] L. Accardi, R. Alicki, A. Frigerio and Y.G. Lu, An invitation to the weak coupling and low density limits, Quantum Probability and Applications V, World Scientific, 1991. Zbl0927.60090MR1149817
  7. [7] R. Dümcke, The low density limit for an N-level systems interacting with a free Boson and Fermi gas, Comm. Math. Phys., Vol. 97, 1985, pp. 331-359. Zbl0614.46069MR778619
  8. [8] E.B. Davies, Markovian master equation, Comm. Math. Phys., Vol. 39, 1974, pp. 91- 110. (a) E.B. Davies, Markovian master equation III, Ann. Inst. H. Poincaré, Vol. B11, 1975, pp. 265-273. (b) E.B. Davies, Markovian master equation II, Math. Ann., Vol. 219, 1976, pp. 147-158. Zbl0294.60080MR359633
  9. [9] L. Accardi and Y.G. Lu, The Weak Coupling Limit Without Rotating Wave Approximation, Ann. Inst. H. Poincaré, Phys. Th., Vol. 54, No. 4, 1991. Zbl0734.60105MR1128865
  10. [10] L. Accardi, A. Frigerio and Y.G. Lu, The weak coupling limit as a quantum functional central limit, Comm. Math. Phys., 131, 1990, pp. 537-570. Zbl0703.60096MR1065896
  11. [11] L. Accardi, A. Frigerio, Y.G. Lu, The Weak Coupling Limit (II): The Langevin equation and finite temperature case (submitted to Publications RIMS). Zbl0846.60098
  12. [12] P.F. Palmer, Dr. Phil. Thesis, Oxford, 1977. 
  13. [13] L. Accardi, A. Frigerio and Y.G. Lu, The Weak Coupling Limit For Fermions, J. Math. Phys., Vol. 32, (6), June 1991, pp. 1567-1581. Zbl0735.60106MR1109211
  14. [14] R. Alicki and A. Frigerio, Quantum Poisson Process and Linear Quantum Boltzmann Equation, preprint. Zbl0524.47006
  15. [15] A. Frigerio and H. Maassen, Quantum Poisson Process and Dilatations of Dynamical Semigroup, Prob. Th. Rel. Fields, 83, 1989, pp. 489-508. Zbl0684.60081MR1022627

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