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Microscopic study of interacting boson model

高浩水崎

Jan 1, 19931 citation

Microscopic approach to the interacting boson model

Martin R. Zirnbauer, D.M. Brink

Nuclear Physics AAug 1, 198266 citations

New method for studying the microscopic foundations of the interacting boson model

Abraham Klein, Mathilde Vallières

Physics Letters BJan 1, 198181 citations

Microscopic structure of interacting bosons in 20Ne

José María Gómez Gómez

Springer eBooksApr 6, 20080 citations

Microscopic foundation of the interacting boson model

Cheng-Li Wu, D.H. Feng, Jin-Quan Chen +1 more

An effective boson Hamiltonian is derived from the original Hamiltonian of a many-fermion system. The results show that when the intrinsic motion of bosons is collective and the excitation energies of the system are small, the effective boson-boson interaction can be reduced to a two-body interaction while for odd systems or systems with uncorrelated fermions, there is an additional two-body boson-fermion interaction. Both these interactions can be calculated from the original fermion-fermion ones. Thus, the microscopic foundation of the interacting boson model is established without recourse to mapping procedures.NUCLEAR STRUCTURE Interacting boson model, boson fermion hybrid representation, microscopic foundation.An effective boson Hamiltonian is derived from the original Hamiltonian of a many-fermion system. The results show that when the intrinsic motion of bosons is collective and the excitation energies of the system are small, the effective boson-boson interaction can be reduced to a two-body interaction while for odd systems or systems with uncorrelated fermions, there is an additional two-body boson-fermion interaction. Both these interactions can be calculated from the original fermion-fermion ones. Thus, the microscopic foundation of the interacting boson model is established without recourse to mapping procedures.NUCLEAR STRUCTURE Interacting boson model, boson fermion hybrid representation, microscopic foundation.

Physical Review CJul 1, 19822 citations

Microscopic Theory: Uniform Condensate 1

Philippe Nozières, David Pines

In this chapter, the authors turn their attention to microscopic theories of interacting Bose systems, that class of theories which begin with a given law of interaction between the particles, and derive the various properties of the system therefrom. Microscopic theory does not provide a quantitative description of liquid He II. Indeed, there exists a satisfactory microscopic theory of an interacting boson system in only two limiting cases, those of: Weak repulsive interactions between the bosons; and a dilute gas with arbitrary repulsive interaction between the particles. One sees how the macroscopic occupation of a single quantum state dictates the structure of the microscopic description of system behavior. The Hamiltonian serves as a starting Hamiltonian in authors consideration of microscopic theory; they show that the existence of macroscopic occupation of a single quantum state leads to an effective Hamiltonian which looks rather different.In this chapter, the authors turn their attention to microscopic theories of interacting Bose systems, that class of theories which begin with a given law of interaction between the particles, and derive the various properties of the system therefrom. Microscopic theory does not provide a quantitative description of liquid He II. Indeed, there exists a satisfactory microscopic theory of an interacting boson system in only two limiting cases, those of: Weak repulsive interactions between the bosons; and a dilute gas with arbitrary repulsive interaction between the particles. One sees how the macroscopic occupation of a single quantum state dictates the structure of the microscopic description of system behavior. The Hamiltonian serves as a starting Hamiltonian in authors consideration of microscopic theory; they show that the existence of macroscopic occupation of a single quantum state leads to an effective Hamiltonian which looks rather different.

CRC Press eBooksMar 5, 20180 citations

Microscopic investigations of the structure of the bosons and the hamiltonian of the interacting boson model

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Microscopic investigations of the structure of the bosons and the hamiltonian of the interacting boson model

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