Eduardo G Vergini and David Schneider 2005 J. Phys. A: Math. Gen. 38 587 doi:10.1088/0305-4470/38/3/005
Eduardo G Vergini1,2 and David Schneider2
Show affiliationsWithin the framework of the short periodic orbit theory in quantum chaos, matrix elements between scar functions play a central role. In this paper, we study the asymptotic behaviour of these matrix elements. In particular, we provide expressions for the overlap between scar functions and for matrix elements of the Hamiltonian. It is a remarkable fact that these matrix elements essentially depend on heteroclinic areas related to pairs of periodic orbits.
81Q50 Quantum chaos (See also 37Dxx)
81Q20 Semiclassical techniques including WKB and Maslov methods
Issue 3 (21 January 2005)
Received 23 March 2004, in final form 16 November 2004
Published 23 December 2004
Eduardo G Vergini and David Schneider 2005 J. Phys. A: Math. Gen. 38 587
Luzi Bergamin et al JHEP11(2004)021
J R Persson 2007 Phys. Scr. 76 449
Duy Pham et al 2002 Smart Mater. Struct. 11 668
J M Bostock-Smith 2008 Phys. Educ. 43 265
N J Wilson et al 2000 J. Phys. B: At. Mol. Opt. Phys. 33 L341
Takashi Maruyama et al 2009 J. Phys.: Conf. Ser. 190 012018
E Prugovecki 1977 J. Phys. A: Math. Gen. 10 543
A Hamzic et al 1981 J. Phys. F: Met. Phys. 11 1441
Gary T. Horowitz and Matthew M. Roberts JHEP11(2009)015