Basis states for equivalent electrons. III. States for the Lie group SO(2l + 1) × SU(2) using Sp(4l + 2) states
Keyword(s):
The Lie group SO(2l + 1) × EU(2) is a subgroup of the symplectic group Sp(4l + 2), which in turn is a subgroup of the unitary group U(4l + 2). The Slater basis states for N equivalent electrons form the basis for the irreducible representation (1N) of U(4l + 2). The basis states for the irreducible representations of SO(2l + 1) × SU(2) are expressed in terms of the states for irreducible representations of Sp(4l + 2). The basis states for SO(2l + 1) × SU(2) are also expressed in terms of the Slater basis states.
Keyword(s):
1972 ◽
Vol 24
(3)
◽
pp. 432-438
◽
1970 ◽
Vol 11
(1)
◽
pp. 162-168
◽
1984 ◽
Vol 27
(1)
◽
pp. 25-29
◽
Keyword(s):
2018 ◽
Vol 106
(2)
◽
pp. 143-159
2021 ◽
Vol 25
(21)
◽
pp. 606-643