scholarly journals A NOTE ON QUANTUM BOHLIN TRANSFORMATION

1996 ◽  
Vol 11 (19) ◽  
pp. 1605-1610 ◽  
Author(s):  
A. NERSESSIAN ◽  
V. TER-ANTONYAN ◽  
M. TSULAIA

It is shown that the reduction of the circular quantum oscillator by the Z2 group action results in the two systems: a two-dimensional hydrogen atom, and a “charge-charged magnetic vortex” one, with spin-1/2. Analogously, the ZN reduction of the two-dimensional system with the central potential r2(N–1) results into N bound “charge-magnetic vertex” systems with the interaction potential r2(1/N–1) and spins [Formula: see text]k = 0, 1,…, N - 1.

1998 ◽  
Vol 32 (10) ◽  
pp. 1116-1118
Author(s):  
N. S. Averkiev ◽  
A. M. Monakhov ◽  
A. Yu. Shik ◽  
P. M. Koenraad

1988 ◽  
Vol 61 (10) ◽  
pp. 1214-1217 ◽  
Author(s):  
Isaac Freund ◽  
Michael Rosenbluh ◽  
Richard Berkovits ◽  
Moshe Kaveh

2008 ◽  
Vol 31 (19) ◽  
pp. 3297-3308 ◽  
Author(s):  
Paola Dugo ◽  
Francesco Cacciola ◽  
Miguel Herrero ◽  
Paola Donato ◽  
Luigi Mondello

1985 ◽  
Vol 56 (2) ◽  
pp. 173-176 ◽  
Author(s):  
R.G. Clark ◽  
R.J. Nicholas ◽  
M.A. Brummell ◽  
A. Usher ◽  
S. Collocott ◽  
...  

1959 ◽  
Vol 42 ◽  
pp. 1-2
Author(s):  
LL. G. Chambers

The use of the complex variable z( = x + iy) and the complex potential W(= U + iV) for two-dimensional electrostatic systems is well known and the actual system in the (x, y) plane has an image system in the (U, V) plane. It does not seem to have been noticed previously that the electrostatic energy per unit length of the actual system is simply related to the area of the image domain in the (U, V) plane.


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