The osp(1‖2) algebra is first realized through one boson and two fermion pairs of creation annihilation operators and then both osp(1‖2) and osp(3‖2) are realized in terms of three boson and two fermion pairs. All these realizations are reducible, and the reduced states are labeled by the total occupation number.

1.
A.
Pais
and
V.
Rittenberg
,
J. Math. Phys.
16
,
2062
(
1975
).
2.
M.
Scheunert
,
W.
Nahm
, and
V.
Rittenberg
,
J. Math. Phys.
18
,
146
,
155
(
1977
).
3.
F. A.
Berezin
and
V. N.
Tolstoy
,
Commun. Math. Phys.
78
,
409
(
1981
).
4.
P. D.
Jarvis
and
H. S.
Green
,
J. Math. Phys.
20
,
2115
(
1979
).
5.
P.
Minnaert
and
M.
Mozrzymas
,
J. Math. Phys.
33
,
1582
,
1594
(
1992
).
6.
M.
Daumens
,
P.
Minnaert
,
M.
Mozrzymas
, and
S.
Toshev
,
Europhys. Lett.
20
,
671
(
1992
);
M.
Daumens
,
P.
Minnaert
,
M.
Mozrzymas
, and
S.
Toshev
,
J. Math. Phys.
34
,
2475
(
1993
).
7.
J. J.
Labarthe
,
J. Phys. A
25
,
6699
(
1992
).
8.
M.
Daumens
and
Y.
Noirot
,
J. Math. Phys.
34
,
1519
(
1993
).
9.
M.
Daumens
,
J. Math. Phys.
34
,
2508
(
1993
).
10.
A. J.
Bracken
,
M. D.
Gould
, and
I.
Tsohantjis
,
J. Math. Phys.
34
,
1655
(
1993
).
11.
M.
Daumens
,
J. Math. Phys.
35
,
986
(
1994
).
12.
J. W. B.
Hughes
,
J. Math. Phys.
22
,
245
(
1981
).
13.
J.
Blank
,
M.
Halicek
,
P.
Exner
, and
W.
Lassner
,
J. Math. Phys.
23
,
350
(
1982
).
14.
R. J.
Farmer
and
P. D.
Jarvis
,
J. Phys. A
16
,
473
(
1983
).
15.
Dung-Sang
Tang
,
J. Math. Phys.
25
,
2966
(
1984
).
16.
J.
Van der Jeugt
,
J. Math. Phys.
25
,
3334
(
1984
).
17.
M.
Daumens
,
P.
Minnaert
, and
Y.
Noirot
,
J. Math. Phys.
34
,
5303
(
1993
).
18.
M.
Daumens
,
J. Math. Phys.
34
,
4161
(
1993
).
19.
M. E. Rose, in Spectroscopic and Group Theoretical Methods in Physics, Racah Memorial Volume, edited by F. Bloch et al. (North-Holland, Amsterdam, 1968), pp. 137–152.
20.
A. R. Edmonds, em Angular Momentum in Quantum Mechanics (Princeton University, Princeton, NJ, 1957).
This content is only available via PDF.
You do not currently have access to this content.