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Prog. Theor. Phys. Vol. 17 No. 4 (1957) pp. 543-555

[ Full Text PDF : FREE ACCESS (922K) ]

Cluster Development Method in the Quantum Mechanics of Many Particle System, I

Fumiaki Iwamoto and Masami Yamada

Department of Physics, University of Tokyo, Tokyo

(Received January 4, 1957)

Abstract:

In order to investigate the many particle system by the variational principle, the cluster development method proposed by Jastrow is systematically formulated. It is a direct generalization of the Hartree method, in which two particle functions are included in the trial function to represent the correlations between particles. The energy expectation value is expanded in a series, each term of which is expressed in cluster integrals. It is found that the series converges rapidly when the correlations are marked only for small particle separations, so that this method is expected to be useful especially for the system of particles interacting through short range potentials with repulsive cores.


URL : http://ptp.ipap.jp/link?PTP/17/543/
DOI : 10.1143/PTP.17.543

[ Full Text PDF : FREE ACCESS (922K) ] Citation:

References:

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