Motion of vortex lines in quantum mechanics

被引:108
作者
Bialynicki-Birula, I
Bialynicka-Birula, Z
Sliwa, C
机构
[1] Ctr Theoret Phys, PL-02668 Warsaw, Poland
[2] Univ Warsaw, Inst Theoret Phys, PL-00681 Warsaw, Poland
[3] Polish Acad Sci, Inst Phys, PL-02668 Warsaw, Poland
[4] Coll Sci, PL-02668 Warsaw, Poland
来源
PHYSICAL REVIEW A | 2000年 / 61卷 / 03期
关键词
D O I
10.1103/PhysRevA.61.032110
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Exact analytic solutions of the time-dependent Schrodinger equation are produced that exhibit a variety of vortex structures. The qualitative analysis of the motion of vortex lines is presented and various types of vortex behavior are identified. Vortex creation and annihilation and vortex interactions are illustrated in the special cases of the free motion, the motion in the harmonic potential, and in the constant magnetic field. Similar analysis of the vortex motions is carried out also for a relativistic wave equation.
引用
收藏
页数:7
相关论文
共 23 条
[1]   Dynamics of vortex lines in the three-dimensional complex Ginzburg-Landau equation: Instability, stretching, entanglement, and helices [J].
Aranson, IS ;
Bishop, AR ;
Kramer, L .
PHYSICAL REVIEW E, 1998, 57 (05) :5276-5286
[2]  
ARISTOTLE, CAELO, pCH13
[3]   MAGNETIC MONOPOLES IN HYDRODYNAMIC FORMULATION OF QUANTUM MECHANICS [J].
BIALYNIC.I ;
BIALYNIC.Z .
PHYSICAL REVIEW D, 1971, 3 (10) :2410-&
[4]  
Bialynicki-Birula I., 1992, THEORY OF QUANTA
[5]   FASTER THAN LIGHT [J].
CHIAO, RY ;
KWIAT, PG ;
STEINBERG, AM .
SCIENTIFIC AMERICAN, 1993, 269 (02) :52-60
[6]   LINEAR PULSE-PROPAGATION IN AN ABSORBING MEDIUM [J].
CHU, S ;
WONG, S .
PHYSICAL REVIEW LETTERS, 1982, 48 (11) :738-741
[7]   Bosons in anisotropic traps: Ground state and vortices [J].
Dalfovo, F ;
Stringari, S .
PHYSICAL REVIEW A, 1996, 53 (04) :2477-2485
[8]  
Descartes Rene, 1644, Principia philosophia
[9]   The topological structure of vortex in BEC [J].
Duan, Y ;
Zhang, H .
EUROPEAN PHYSICAL JOURNAL D, 1999, 5 (01) :47-51
[10]   VORTICES IN AN IMPERFECT BOSE GAS .4. TRANSLATIONAL VELOCITY [J].
FETTER, AL .
PHYSICAL REVIEW, 1966, 151 (01) :100-&