Test of validity of the Hermitian treatment of the Dyson boson mapping

Motom Sato; Yoshifumi R. Shimizu; Kenjiro Takada

doi:10.1143/PTP.102.287

Test of validity of the Hermitian treatment of the Dyson boson mapping

Motom Sato, Yoshifumi R. Shimizu, Kenjiro Takada

Experimental Particle Physics

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2 Citations (Scopus)

Abstract

The eigenvalue equation in the Dyson boson mapping is non-Hermitian. A method for a Hermitian treatment of this non-Hermitian eigenvalue equation has been proposed by one of the present authors.¹⁾ If we intend to apply this method to realistic cases, we cannot help retaining only a small number of degrees of freedom which are important for describing the collective motions of interest. In such cases, this method would be an approximation. In the present paper, we test the validity of this approximation in numerical calculations for some realistic nuclei. The results show that this method of Hermitian treatment is a very good approximation within truncated boson subspaces.

Original language	English
Pages (from-to)	287-296
Number of pages	10
Journal	Progress of Theoretical Physics
Volume	102
Issue number	2
DOIs	https://doi.org/10.1143/PTP.102.287
Publication status	Published - Aug 1999

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1143/PTP.102.287

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abstract = "The eigenvalue equation in the Dyson boson mapping is non-Hermitian. A method for a Hermitian treatment of this non-Hermitian eigenvalue equation has been proposed by one of the present authors.1) If we intend to apply this method to realistic cases, we cannot help retaining only a small number of degrees of freedom which are important for describing the collective motions of interest. In such cases, this method would be an approximation. In the present paper, we test the validity of this approximation in numerical calculations for some realistic nuclei. The results show that this method of Hermitian treatment is a very good approximation within truncated boson subspaces.",

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AU - Takada, Kenjiro

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N2 - The eigenvalue equation in the Dyson boson mapping is non-Hermitian. A method for a Hermitian treatment of this non-Hermitian eigenvalue equation has been proposed by one of the present authors.1) If we intend to apply this method to realistic cases, we cannot help retaining only a small number of degrees of freedom which are important for describing the collective motions of interest. In such cases, this method would be an approximation. In the present paper, we test the validity of this approximation in numerical calculations for some realistic nuclei. The results show that this method of Hermitian treatment is a very good approximation within truncated boson subspaces.

AB - The eigenvalue equation in the Dyson boson mapping is non-Hermitian. A method for a Hermitian treatment of this non-Hermitian eigenvalue equation has been proposed by one of the present authors.1) If we intend to apply this method to realistic cases, we cannot help retaining only a small number of degrees of freedom which are important for describing the collective motions of interest. In such cases, this method would be an approximation. In the present paper, we test the validity of this approximation in numerical calculations for some realistic nuclei. The results show that this method of Hermitian treatment is a very good approximation within truncated boson subspaces.

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Test of validity of the Hermitian treatment of the Dyson boson mapping

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