The thermodynamic limit of quantum Coulomb systems. II: Applications. (English) Zbl 1165.81042
In a preceding paper, the authors introduced conditions of convergence to thermodynamic limit for function defined on the bounded open sets of the tri-dimensional space. Here they apply this result to three typical quantum systems which are respectively the perturbed crystal, quantum nuclei and electrons in a periodic magnetic field, and movable classical nuclei. Many known results are so recovered and generalized, like those of Lieb and Lebowitz for instance.
[Part I, cf. the authors, Adv. Math. 221, No. 2, 454–487 (2009; Zbl 1165.81041).]
[Part I, cf. the authors, Adv. Math. 221, No. 2, 454–487 (2009; Zbl 1165.81041).]
Reviewer: Guy Jumarie (Montréal)
MSC:
| 81V70 | Many-body theory; quantum Hall effect |
| 82B30 | Statistical thermodynamics |
| 81T10 | Model quantum field theories |
| 94A17 | Measures of information, entropy |
Keywords:
thermodynamic limit; quantum Coulomb systems; stability of matter; free energy; crystal; strong subaddivity of entropyCitations:
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