The microwave spectrum of IF5 in excited vibrational states: Accidental degeneracy and avoided crossing of the kl = 3 and kl = −1 levels in the state v9(E) = 1

1981 ◽  
Vol 89 (1) ◽  
pp. 254-260 ◽  
Author(s):  
B. Balikci ◽  
P.N. Brier
1978 ◽  
Vol 72 (2) ◽  
pp. 282-292 ◽  
Author(s):  
C. Gheorghiou ◽  
P.N. Brier ◽  
J.G. Baker ◽  
S.R. Jones

2007 ◽  
Vol 22 (13) ◽  
pp. 949-960 ◽  
Author(s):  
A. M. GAVRILIK ◽  
A. P. REBESH

We study main features of the exotic case of q-deformed oscillators (so-called Tamm–Dancoff cutoff oscillator) and find some special properties: (i) degeneracy of the energy levels En1 = En1 + 1, n1 ≥ 1, at the real value[Formula: see text] of deformation parameter, as well as the occurrence of other degeneracies En1 = En1 + k, for k ≥ 2, at the corresponding values of q which depend on both n1 and k; (ii) the position and momentum operators X and Pcommute on the state|n1> if q is fixed as [Formula: see text], that implies unusual uncertainty relation; (iii) two commuting copies of the creation, annihilation, and number operators of this q-oscillator generate the corresponding q-deformation of the non-simple Lie algebra su(2) ⊕ u(1)whose nontrivial q-deformed commutation relation is: [J+, J-] = 2J0q2J3-1 where [Formula: see text] and [Formula: see text].


1976 ◽  
Vol 49 (4) ◽  
pp. 916-921 ◽  
Author(s):  
Chiaki Hirose ◽  
Kazuhiro Okiye ◽  
Shiro Maeda

1976 ◽  
Vol 7 (11) ◽  
pp. no-no
Author(s):  
NOBUAKI YOSHIMIZU ◽  
CHIAKI HIROSE ◽  
SHIRO MAEDA

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