Interacting boson approximation

Technical Report · Sun Jan 01 04:00:00 EST 1984

OSTI ID:6012709

Rosen, S P

Lectures notes on the Interacting Boson Approximation are given. Topics include: angular momentum tensors; properties of T/sub i//sup (n)/ matrices; T/sub i//sup (n)/ matrices as Clebsch-Gordan coefficients; construction of higher rank tensors; normalization: trace of products of two s-rank tensors; completeness relation; algebra of U(N); eigenvalue of the quadratic Casimir operator for U(3); general result for U(N); angular momentum content of U(3) representation; p-Boson model; Hamiltonian; quadrupole transitions; S,P Boson model; expectation value of dipole operator; S-D model: U(6); quadratic Casimir operator; an O(5) subgroup; an O(6) subgroup; properties of O(5) representations; quadratic Casimir operator; quadratic Casimir operator for U(6); decomposition via SU(5) chain; a special O(3) decomposition of SU(3); useful identities; a useful property of D/sub ..cap alpha beta gamma../(..cap alpha..,..beta..,..gamma.. = 4-8) as coupling coefficients; explicit construction of T/sub x//sup (2)/ and d/sub ..cap alpha beta gamma../; D-coefficients; eigenstates of T/sub 3/; and summary of T = 2 states. (WHK)

• Research Organization: National Science Foundation, Washington, DC (USA). Div. of Physics; Purdue Univ., Lafayette, IN (USA)
• DOE Contract Number: AS05-76ER05126
• OSTI ID: 6012709
• Report Number(s): DOE/ER/05126-183; ORO-5126-183; ON: DE85003016
• Country of Publication: United States
• Language: English

Related Subjects

653007* -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CASIMIR OPERATORS
DOCUMENT TYPES
DYNAMICAL GROUPS
EIGENSTATES
HAMILTONIANS
INTERACTING BOSON MODEL
LECTURES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
O GROUPS
QUANTUM OPERATORS
SHELL MODELS
SYMMETRY GROUPS
U GROUPS