Tōru Suzuki

Path integral in the representation of SU(2) coherent state and classical dynamics in a generalized phase space

Path integral in the representation of coherent state for the simplest semisimple Lie group SU(2) and its classical consequences are investigated. Using the completeness relation of the coherent state, we derive a path integral expression for the transition amplitude which connects a pair of SU(2) coherent states. In the classical limit we arrive at a canonical equation of motion in a ’’curved phase space’’ (two‐dimensional sphere) which reproduces the ordinary Euler’s equation of a rigid body when applied to a rotator.

Path integral approach to many-nucleon systems and time-dependent Hartree-Fock

Abstract The quantum mechanical treatment of many-nucleon systems is investigated by using the path integrals in the representation of the generalized coherent state for the unitary group. Utilizing the completeness relation of the coherent state, we derive a path integral representation for the transition amplitude which joins arbitrary initial and final states; thereby the time-dependent Hartree-Fock is naturally obtained as a classical limit.

Interplay of Pairing and Intrinsic Modes of Excitation in Nuclei. I : Transcription of Nucleon System into Ideal Boson-Quasi-Particle Space

A new method treating the interplay of pairing and intrinsic modes of excitation is proposed. In this method, the pairing mode associated with the J=O-coupled nucleon pairs is represented by pairing bosons and the intrinsic mode characterized by the seniority quantum number is explicitly treated by ideal quasi-particle operators. We obtain a closed expression of the single-nucleon operator in terms of pairing bosons and ideal quasi-particles. As a simple illustration, the superconducting system is treated by introducing the coherent state of pairing bosons and the relation to the Bogoliubov transformation is discussed. The relation between this method and the· canonical transformation method with auxiliary variables is also clarified.