Add to ORKGIn this paper we consider a basis for N boson states classified by the chain of groups U(6)⊃U(3)⊃U(2)⊃U(1). We determine analytical expressions for the matrix elements of the boson creation and annihilation operators, as well as for the U(6) generators, with respect to that basis. For such purpose, we use the Wigner-Eckart theorem with respect to U(3) and calculate the reduced matrix elements of the appropriate irreducible tensors from their matrix elements between highest weight states. Then we apply the transformation brackets from the chain U(6)⊃U(3)⊃U(2)⊃U(1) to the physical chain U(6)⊃SU(3)⊃SO(3)⊃SO(2) to obtain the matrix elements of the above-mentioned operators in a basis corresponding to the latter. The matrix elements so determine...
This is the third and final article in a series directed toward the evaluation of the U(2n) generato...
The boson operator theory of the representations of the unitary group, its Wigner-Clebsch-Gordan, an...
By including the electric dipole operator among the generators, the sp(6, R) algebra of the nuclear ...
This thesis finds the basis states of the symplectic model for nuclear collective behaviour. We are ...
This is the first in a series of three articles which aimed to derive the matrix elements of the U(2...
General expressions are given for the matrix elements of single-nucleon creation and annihilation op...
A recursive method for the construction of symmetric irreducible representations of O(2l+1) in the O...
The representation theory of the unitary groups is of fundamental significance in many areas of phys...
For the case of corepresentations of anti-unitary magnetic groups a new generalisation of the Wigner...
We introduce a method for isospin restoration in the calculation of nuclear matrix elements (NMEs) f...
Creation and annihilation operators are defined which are Wigner operators (tensor shift operators) ...
This is the first in a series of papers which derives the matrix elements of the spin-dependent U(2n...
Rotational bands are commonly used in the analysis of the spectra of atomic nuclei. The early versio...
The many $2^k$-pole boson states, $|N_kv_k\alpha_k I_kM_k>$ with $k=2,3$, realize the irreducible re...
We use the ideas on linear canonical transformations developed previously to calculate the matrix el...
This is the third and final article in a series directed toward the evaluation of the U(2n) generato...
The boson operator theory of the representations of the unitary group, its Wigner-Clebsch-Gordan, an...
By including the electric dipole operator among the generators, the sp(6, R) algebra of the nuclear ...
This thesis finds the basis states of the symplectic model for nuclear collective behaviour. We are ...
This is the first in a series of three articles which aimed to derive the matrix elements of the U(2...
General expressions are given for the matrix elements of single-nucleon creation and annihilation op...
A recursive method for the construction of symmetric irreducible representations of O(2l+1) in the O...
The representation theory of the unitary groups is of fundamental significance in many areas of phys...
For the case of corepresentations of anti-unitary magnetic groups a new generalisation of the Wigner...
We introduce a method for isospin restoration in the calculation of nuclear matrix elements (NMEs) f...
Creation and annihilation operators are defined which are Wigner operators (tensor shift operators) ...
This is the first in a series of papers which derives the matrix elements of the spin-dependent U(2n...
Rotational bands are commonly used in the analysis of the spectra of atomic nuclei. The early versio...
The many $2^k$-pole boson states, $|N_kv_k\alpha_k I_kM_k>$ with $k=2,3$, realize the irreducible re...
We use the ideas on linear canonical transformations developed previously to calculate the matrix el...
This is the third and final article in a series directed toward the evaluation of the U(2n) generato...
The boson operator theory of the representations of the unitary group, its Wigner-Clebsch-Gordan, an...
By including the electric dipole operator among the generators, the sp(6, R) algebra of the nuclear ...