PERIODIC ORBIT THEORY OF DIFFRACTION

被引:94
作者
VATTAY, G [1 ]
WIRZBA, A [1 ]
ROSENQVIST, PE [1 ]
机构
[1] TH DARMSTADT,INST KERNPHYS,D-64289 DARMSTADT,GERMANY
关键词
D O I
10.1103/PhysRevLett.73.2304
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An extension of the Gutzwiller trace formula is given that includes diffraction effects due to hard wall scatterers or other singularities. The new trace formula involves periodic orbits which have arcs on the surface of singularity and which correspond to creeping waves. A new family of resonances in the two-disk scattering system can be well described which is completely missing if only the traditional periodic orbits are used.
引用
收藏
页码:2304 / 2307
页数:4
相关论文
共 25 条
[1]  
BUSLAEV VS, 1963, SOV PHYS DOKL, V7, P685
[2]   SYMMETRY DECOMPOSITION OF CHAOTIC DYNAMICS [J].
CVITANOVIC, P ;
ECKHARDT, B .
NONLINEARITY, 1993, 6 (02) :277-311
[3]   PERIODIC-ORBIT QUANTIZATION OF CHAOTIC SYSTEMS [J].
CVITANOVIC, P ;
ECKHARDT, B .
PHYSICAL REVIEW LETTERS, 1989, 63 (08) :823-826
[4]   ENTIRE FREDHOLM DETERMINANTS FOR EVALUATION OF SEMICLASSICAL AND THERMODYNAMICAL SPECTRA [J].
CVITANOVIC, P ;
VATTAY, G .
PHYSICAL REVIEW LETTERS, 1993, 71 (25) :4138-4141
[5]   A Fredholm determinant for semiclassical quantization [J].
Cvitanovic, Predrag ;
Rosenqvist, Per E. ;
Vattay, Gabor ;
Rugh, Hans Henrik .
CHAOS, 1993, 3 (04) :619-636
[6]  
FRANZ W, 1954, Z NATURFORSCH A, V9, P705
[7]  
FRANZ W, 1957, THEORIE BEUGUNG ELEK
[8]   H-EXPANSION FOR THE PERIODIC-ORBIT QUANTIZATION OF HYPERBOLIC SYSTEMS [J].
GASPARD, P ;
ALONSO, D .
PHYSICAL REVIEW A, 1993, 47 (05) :R3468-R3468
[9]  
GASPARD P, 1989, J CHEM PHYS, V90, P2242, DOI 10.1063/1.456018
[10]   EXACT QUANTIZATION OF THE SCATTERING FROM A CLASSICALLY CHAOTIC REPELLOR [J].
GASPARD, P ;
RICE, SA .
JOURNAL OF CHEMICAL PHYSICS, 1989, 90 (04) :2255-2262