20.500.12556/DKUM-66554 Expanded boundary integral method and chaotic time-reversal in quatum billiards We present the expanded boundary integral method for solving the planar Helmholtz problem, which combines the ideas of the boundary integral method and the scaling method and is applicable to arbitrary shapes. We apply the method to a chaotic billiard with unidirectional transport, where we demonstrate the existence of doublets of chaotic eigenstates, which are quasi-degenerate due to time-reversal symmetry, and a very particular level spacing distribution that attains a chaotic Shnirelman peak at short energy ranges and exhibits Gaussian Unitary Ensemble (GUE) like statistics for large energy ranges. We show that, as a consequence of such particular level statistics or algebraic tunnelling between disjoint chaotic components connected by time-reversal operation, the system exhibits quantum current reversals. 2D Helmholtz equation energy spectrum quantum billiard 2D Helmholtzeva enačba energijski spekter kvantni biljard true false true Angleški jezik Slovenski jezik Znanstveno delo 2017-07-03 08:06:37 2017-07-03 08:07:41 2022-07-11 03:07:40 2019-07-11 15:51:21 2007 0 0 str. 1-18 Letn. 9 2007 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 1367-2630 530.14 21135621 1975652 10.1088/1367-2630/9/1/015 1367-2630 URN:SI:UM:DK:JF7C6YVI New_Journal_of_Physics_2007_Veble,_Prosen,_Robnik_Expanded_boundary_integral_method_and_chaotic_time-reversal_doublets_in_quantum_billia.pdf New_Journal_of_Physics_2007_Veble,_Prosen,_Robnik_Expanded_boundary_integral_method_and_chaotic_time-reversal_doublets_in_quantum_billia.pdf 1 EBB0DE2F5609778F21129BC9EADD3FCE 8b4b010a17e127eccb80ae7f49ffae996b8fa8da13aca388cb3ef00131aa9698 552347d7-7c0e-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=113442 http://stacks.iop.org/1367-2630/9/i=1/a=015?key=crossref.5639f5a44d96fbeb801a9fb0940748a1 1 https://dk.um.si/Dokument.php?lang=slv&id=113441 Univerza v Mariboru 0 0 0