GENERALIZED DEFORMED OSCILLATOR FOR THE PAIRING CORRELATIONS IN A SINGLE-J SHELL

被引:38
作者
BONATSOS, D [1 ]
DASKALOYANNIS, C [1 ]
机构
[1] UNIV THESSALONIKI,DEPT THEORET PHYS,GR-54006 SALONIKA,GREECE
关键词
D O I
10.1016/0370-2693(92)90700-E
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Using deformed bosons we construct a generalized deformed harmonic oscillator which satisfies the same commutation relations as a system of fermion pairs of zero angular momentum in a single-j shell. The pairing energy is also exactly reproduced by this mapping. The spectrum of the generalized deformed oscillator corresponds, up to first order perturbation theory, to a harmonic oscillator with an x4 perturbation. A generalized deformed oscillator giving the same spectrum as a general anharmonic oscillator is also constructed.
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页码:1 / 6
页数:6
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共 42 条
[1]  
Abe E., 1980, HOPF ALGEBRAS
[2]   DUALITY AND QUANTUM GROUPS [J].
ALVAREZGAUME, L ;
GOMEZ, C ;
SIERRA, G .
NUCLEAR PHYSICS B, 1990, 330 (2-3) :347-398
[3]   INTERACTING BOSON MODEL OF COLLECTIVE NUCLEAR-STATES .4. O(6) LIMIT [J].
ARIMA, A ;
IACHELLO, F .
ANNALS OF PHYSICS, 1979, 123 (02) :468-492
[4]   INTERACTING BOSON MODEL OF COLLECTIVE NUCLEAR STATES .2. ROTATIONAL LIMIT [J].
ARIMA, A ;
IACHELLO, F .
ANNALS OF PHYSICS, 1978, 111 (01) :201-238
[5]   INTERACTING BOSON MODEL OF COLLECTIVE STATES .1. VIBRATIONAL LIMIT [J].
ARIMA, A ;
IACHELLO, F .
ANNALS OF PHYSICS, 1976, 99 (02) :253-317
[6]   Q-DEFORMATIONS OF THE O(3) SYMMETRIC SPIN-1 HEISENBERG CHAIN [J].
BATCHELOR, MT ;
MEZINCESCU, L ;
NEPOMECHIE, RI ;
RITTENBERG, V .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (04) :L141-L144
[7]   THE QUANTUM GROUP SUQ(2) AND A Q-ANALOGUE OF THE BOSON OPERATORS [J].
BIEDENHARN, LC .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (18) :L873-L878
[8]   EXTENDED COMMUTATOR METHOD FOR BOSON MAPPING IN THE SENIORITY SCHEME - 2 NON-DEGENERATE-J SHELLS WITH [J1-J2]=2 [J].
BONATSOS, D ;
KLEIN, A .
NUCLEAR PHYSICS A, 1987, 469 (02) :253-272
[9]   COMMUTATORS METHOD FOR BOSON MAPPING IN THE SENIORITY SCHEME [J].
BONATSOS, D ;
KLEIN, A ;
LI, CT .
NUCLEAR PHYSICS A, 1984, 425 (03) :521-547
[10]   WKB EQUIVALENT POTENTIALS FOR THE Q-DEFORMED HARMONIC-OSCILLATOR [J].
BONATSOS, D ;
DASKALOYANNIS, C ;
KOKKOTAS, K .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (15) :L795-L801