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
[31]  
Kulis PP, 1981, ZAPISKI NAUCHN SEMIN, V101, P101, DOI 10.1007/BF01084171
[32]   ON THE Q-OSCILLATOR AND THE QUANTUM ALGEBRA SUQ (1,1) [J].
KULISH, PP ;
DAMASKINSKY, EV .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (09) :L415-L419
[33]   ON Q-ANALOGUES OF THE QUANTUM HARMONIC-OSCILLATOR AND THE QUANTUM GROUP SU(2)Q [J].
MACFARLANE, AJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (21) :4581-4588
[34]   EXTENDED COMMUTATOR METHOD FOR BOSON MAPPING IN THE SENIORITY SCHEME - MANY NON-DEGENERATE J-SHELLS [J].
MENEZES, DP ;
BONATSOS, D ;
KLEIN, A .
NUCLEAR PHYSICS A, 1987, 474 (02) :381-396
[35]   COMMENT ON THE Q-ANALOGS OF THE HARMONIC-OSCILLATOR [J].
NG, YJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (06) :1023-1027
[36]   COMMON STRUCTURES BETWEEN FINITE SYSTEMS AND CONFORMAL FIELD-THEORIES THROUGH QUANTUM GROUPS [J].
PASQUIER, V ;
SALEUR, H .
NUCLEAR PHYSICS B, 1990, 330 (2-3) :523-556
[37]   THE QUANTUM ALGEBRA SUQ(2) AND ROTATIONAL SPECTRA OF DEFORMED-NUCLEI [J].
RAYCHEV, PP ;
ROUSSEV, RP ;
SMIRNOV, YF .
JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 1990, 16 (08) :L137-L141
[38]  
TERHAAR D, 1975, PROBLEMS QUANTUM MEC, P91
[39]   Q-ANALOG OF BOSON COMMUTATOR AND THE QUANTUM GROUPS SUQ(2) AND SUQ(1,1) [J].
UI, H ;
AIZAWA, N .
MODERN PHYSICS LETTERS A, 1990, 5 (04) :237-242
[40]   COLLECTIVE EFFECTS IN JN CONFIGURATION [J].
VALLIERES, M ;
DREIZLER, RM .
NUCLEAR PHYSICS A, 1971, A175 (02) :272-+