QUANTUM TUNNELING AND CHAOTIC DYNAMICS

被引:115
作者
BOHIGAS, O [3 ]
BOOSE, D
DECARVALHO, RE
MARVULLE, V
机构
[1] WISSENSCH KOLLEG BERLIN,W-1000 BERLIN 33,GERMANY
[2] CRN STRASBOURG,PHYS THEOR LAB,F-67037 STRASBOURG,FRANCE
[3] UNIV PARIS 06,INST PHYS NUCL,DIV PHYS THEOR,CNRS,UNITE RECH,F-91406 ORSAY,FRANCE
关键词
D O I
10.1016/0375-9474(93)90092-C
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We investigate the effect of the structure of a mixed (regular and chaotic) phase-space on the process of tunneling. This is done by studying the way in which classical transport in phase-space affects the energy splitting of quasidoublets of the spectrum of the laplacian on an annular domain bounded by two non-concentric circles. The tunneling is increased as the transport through chaotic regions grows. The actual value of the energy splitting of a given doublet is very sensitive to its position in the energy spectrum as well as to its location in phase-space.
引用
收藏
页码:197 / 210
页数:14
相关论文
共 20 条
[1]   DIABOLICAL POINTS IN THE SPECTRA OF TRIANGLES [J].
BERRY, MV ;
WILKINSON, M .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1984, 392 (1802) :15-43
[2]   MANIFESTATIONS OF CLASSICAL PHASE-SPACE STRUCTURES IN QUANTUM-MECHANICS [J].
BOHIGAS, O ;
TOMSOVIC, S ;
ULLMO, D .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1993, 223 (02) :43-133
[3]   CLASSICAL TRANSPORT EFFECTS ON CHAOTIC LEVELS [J].
BOHIGAS, O ;
TOMSOVIC, S ;
ULLMO, D .
PHYSICAL REVIEW LETTERS, 1990, 65 (01) :5-8
[4]   DYNAMIC QUASIDEGENERACIES AND SEPARATION OF REGULAR AND IRREGULAR QUANTUM LEVELS [J].
BOHIGAS, O ;
TOMSOVIC, S ;
ULLMO, D .
PHYSICAL REVIEW LETTERS, 1990, 64 (13) :1479-1482
[5]   QUANTUM DYNAMICAL TUNNELING IN BOUND-STATES [J].
DAVIS, MJ ;
HELLER, EJ .
JOURNAL OF CHEMICAL PHYSICS, 1981, 75 (01) :246-254
[6]  
GIANNONI MJ, 1991, 1989 P HOUCH SUMM SC
[7]   DISTRIBUTION OF EIGENMODES IN A SUPERCONDUCTING STADIUM BILLIARD WITH CHAOTIC DYNAMICS [J].
GRAF, HD ;
HARNEY, HL ;
LENGELER, H ;
LEWENKOPF, CH ;
RANGACHARYULU, C ;
RICHTER, A ;
SCHARDT, P ;
WEIDENMULLER, HA .
PHYSICAL REVIEW LETTERS, 1992, 69 (09) :1296-1299
[8]  
GUTZWILLER M., 1990, CHAOS CLASSICAL QUAN
[10]  
HIROOKA H, 1984, J PHYS SOC JPN, V53, P985