Deterministic quantum chaos for systems of bosons and fermions

Russian Journal of Mathematical Physics

Volumn 5, Issue 4, 1997, Pages 473-488

  Maslov, Victor P ^a  

^a NATIONAL RESEARCH UNIVERSITY HIGHER SCHOOL OF ECONOMICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031326207     PISSN: 10619208     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. Bogolyubov, N. N., 'On the theory of superfluidity', Izv. AN SSSR, ser. fizika vol. II no. 1 (1947), 77-90.
2. Maslov, V. P., 'Quasi-particles associated with isoenergetic manifolds corresponding to classical self-consistent fields. I-XI', Russ. Jour. of Math. Physics vol. 2-5 (1995-1997).
3. Maslov, V. P., 'Semiclassical approximation for an ergodic classical Hamiltonian flow. The derivation of the semiclassical chaos equations. The role of the self-consistent potential', Russ. Jour. of Math. Physics vol. 4 no. 3 (1996), 377-391.
4. Maslov, V. P. (1973), Operational Methods (Operatornye Metody),
5. (in English: Operational Methods, Moscow, Mir, 1976), Nauka, Moscow.
6. Maslov, V. P., 'Non-standard characteristics in asymptotic problems' (1983), International Congress of Mathematicians, Warsaw.
7. Maslov, V. P., 'On a new variational principle for fermions', Mat. zametki vol. 62 no. 4 (1997), 633-634.
8. Maslov, V. P., 'Theorem on the classical limit as h → 0 for N interacting fermions', Mat. zametki vol. 63 no. 1 (1998), 145-146.
9. Maslov, V. P., 'On a new method of second quantization of fermions', Mat. zametki vol. 61 no. 4 (1997), 627-629.
10. Maslov, V. P. (1977), The Complex WKB Method (Kompleksnyǐ Metod VKB), Nauka, Moscow.
11. Maslov, V. P. and Shvedov, O. Yu., 'Quantization in a neighborhood of classical solutions in the N-particle problem and superfluidity', Teoret. mat. fiz. vol. 98 no. 2 (1994), 266-288.
12. Maslov, V. P. and Mishchenko, A. S., 'Semiclassical asymptotics of quasi-particles', Izv. RAN, ser. mat. (1998) (to appear).
13. Kucherenko, V. V. and Maslov, V. P., 'Spectrum of the system of N bosons as N → ∞', Dokl. Ross. Akad. nauk vol. 348 no. 2 (1996), 169-172.