Motion of vortex lines in quantum mechanics

Fluid Mechanics and Its Applications - Tubes, Sheets and Singularities in Fluid Dynamics ◽

10.1007/0-306-48420-x_15 ◽

2005 ◽

pp. 99-104

Author(s):

Cezary Sliwa ◽

Iwo Bialynicki-Birula ◽

Zofia Bialynicka-Birula ◽

Tomasz Mloduchowski

Keyword(s):

Quantum Mechanics ◽

Vortex Lines

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Motion of vortex lines in quantum mechanics

Physical Review A ◽

10.1103/physreva.61.032110 ◽

2000 ◽

Vol 61 (3) ◽

Cited By ~ 87

Author(s):

Iwo Bialynicki-Birula ◽

Zofia Bialynicka-Birula ◽

Cezary Śliwa

Keyword(s):

Quantum Mechanics ◽

Vortex Lines

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BIFURCATION OF VORTEX LINES IN QUANTUM MECHANICS

International Journal of Modern Physics A ◽

10.1142/s0217751x06034173 ◽

2006 ◽

Vol 21 (32) ◽

pp. 6641-6652

Author(s):

TAO XU

Keyword(s):

Quantum Mechanics ◽

Dynamic Behavior ◽

Critical Points ◽

Topological Structure ◽

Vortex Line ◽

Singularity Theory ◽

Phase Singularity ◽

Linking Number ◽

Vortex Lines

Topological structure of vortex line in quantum mechanics is studied and classified by Hopf index, linking number in geometry. A mechanism of generation or annihilation of vortex line is given by method of phase singularity theory. The dynamic behavior of vortex line at the critical points is discussed in detail, and three kinds of length approximation relations are given.

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