V. D. Ivashchuk, V. N. Melnikov. Quantum billiards with branes UDC 530.1; 539.1 QUANTUM BILLIARDS WITH BRANES

Cosmological Bianchi-I type model in the (n + 1)-dimensional gravitational theory with several forms is considered. When electric non-composite brane ansatz is adopted the Wheeler-DeWitt (WDW) equation for the model, written in the conformally-covariant form, is analyzed. Under certain restrictions asymptotic solutions to WDW equation near the singularity are found which reduce the problem to the so-called quantum billiard on the (n− 1)-dimensional Lobachevsky space Hn−1.