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

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Abstract

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.

Original language	English
Pages (from-to)	177-184
Number of pages	8
Journal	Reports on Mathematical Physics
Volume	81
Issue number	2
DOIs	https://doi.org/10.1016/S0034-4877(18)30035-1
Publication status	Published - Apr 2018
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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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.",

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",

language = "English",

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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.

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

Abstract

All Science Journal Classification (ASJC) codes

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