|
|
|
References
|
|
|
1. |
P. Dirak, Lektsii po kvantovoi mekhanike, Mir, M., 1968 |
2. |
H. J. Rothe, K. D. Rothe, Classical and Quantum Dynamics of Constrained Hamiltonian Systems, World Sci., Singapore, 2010 |
3. |
V. I. Arnold, Matematicheskie metody klassicheskoi mekhaniki, Nauka, M., 1989 |
4. |
A. A. Slavnov, L. D. Faddeev, Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1978 |
5. |
V. A. Rubakov, Klassicheskie kalibrovochnye polya, URSS, M., 1999 |
6. |
L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika. Nerelyativistskaya teoriya, Nauka, M., 1989 |
7. |
I. Fon Neiman, Matematicheskie osnovy kvantovoi mekhaniki, Nauka, M., 1964 |
8. |
V. P. Maslov, Operatornye metody, Nauka, M., 1973 |
9. |
A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourao, T. Thiemann, “Quantization of diffeomorphism invariant theories of connections with local degrees of freedom”, J. Math. Phys., 36 (1995), 6456–6493 |
10. |
D. Giulini, D. Marolf, “A Uniqueness theorem for constraint quantization”, Class. Quant. Grav., 16 (1999), 2489–2505 |
11. |
O. Yu. Shvedov, “On correspondence of BRST-BFV, Dirac and refined algebraic quantizations of constrained systems”, Ann. Phys., 302 (2002), 2–21 |
12. |
J. Louko, E. Martinez-Pascual, “Constraint rescaling in refined algebraic quantisation: momentum constraint”, J. Math. Phys., 52 (2011), 123504 |
13. |
V. V. Varlamov, “Gruppovoe usrednenie dlya svobodnykh polei v terminakh gipersfericheskikh funktsii nad gruppoi de Sittera”, TMF, 164:3 (2010), 473–480 |
14. |
V. P. Maslov, Kompleksnyi metod VKB v nelineinykh uravneniyakh, Nauka, M., 1977 |
15. |
O. Yu. Shvedov, “Metod kompleksnogo rostka Maslova dlya sistem so svyazyami pervogo roda”, TMF, 136:3 (2003), 418–435 |
16. |
O. Yu. Shvedov, “Semiclassical symmetries”, Ann. Phys., 296 (2002), 51–89 |
17. |
V. P. Maslov, O. Yu. Shvedov, Metod kompleksnogo rostka v zadache mnogikh chastits i kvantovoi teorii polya, URSS, M., 2000 |
18. |
N. N. Bogolyubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, Obschie printsipy kvantovoi teorii polya, Nauka, M., 1987 |