Absence of a Ground State for Bosonic Coulomb Systems with Critical Charge

Yukimi Goto

doi:10.1016/S0034-4877(18)30035-1

Absence of a Ground State for Bosonic Coulomb Systems with Critical Charge

Yukimi Goto

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

抄録

We consider bosonic Coulomb systems with N-particles and K static nuclei. Let E_N ^Z denote the ground state energy of a bosonic molecule of the total nuclear charge Z. We prove that the system has no normalizable ground state whenE_N ^N−1=E_N−1 ^N−1.

本文言語	英語
ページ（範囲）	177-184
ページ数	8
ジャーナル	Reports on Mathematical Physics
巻	81
号	2
DOI	https://doi.org/10.1016/S0034-4877(18)30035-1
出版ステータス	出版済み - 4月 2018
外部発表	はい

!!!All Science Journal Classification (ASJC) codes

統計物理学および非線形物理学
数理物理学

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10.1016/S0034-4877(18)30035-1

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title = "Absence of a Ground State for Bosonic Coulomb Systems with Critical Charge",

abstract = "We consider bosonic Coulomb systems with N-particles and K static nuclei. Let EN Z denote the ground state energy of a bosonic molecule of the total nuclear charge Z. We prove that the system has no normalizable ground state whenEN N−1=EN−1 N−1.",

keywords = "Coulomb system, bosonic molecules, many-body Schr{\"o}dinger operator, threshold eigenvalue",

author = "Yukimi Goto",

note = "Publisher Copyright: {\textcopyright} 2018 Polish Scientific Publishers",

year = "2018",

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doi = "10.1016/S0034-4877(18)30035-1",

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AU - Goto, Yukimi

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AB - We consider bosonic Coulomb systems with N-particles and K static nuclei. Let EN Z denote the ground state energy of a bosonic molecule of the total nuclear charge Z. We prove that the system has no normalizable ground state whenEN N−1=EN−1 N−1.

KW - Coulomb system

KW - bosonic molecules

KW - many-body Schrödinger operator

KW - threshold eigenvalue

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DO - 10.1016/S0034-4877(18)30035-1

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JO - Reports on Mathematical Physics

JF - Reports on Mathematical Physics

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Absence of a Ground State for Bosonic Coulomb Systems with Critical Charge

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!!!All Science Journal Classification (ASJC) codes

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