Charge conjugation approach to scattering for the Hartree type Dirac equations with chirality

Yonggeun Cho; Seokchang Hong; Tohru Ozawa

doi:10.1063/5.0118132

Charge conjugation approach to scattering for the Hartree type Dirac equations with chirality

Yonggeun Cho^*
, Seokchang Hong
, Tohru Ozawa

^*Corresponding author for this work

Department of Mathematics

Chung-Ang University
Waseda University

Research output: Contribution to journal › Journal article › peer-review

1 Scopus citations

Abstract

We study the Cauchy problems for the Hartree-type nonlinear Dirac equations with Yukawa-type potential derived from the pseudoscalar field. We establish scattering for large data but with a relatively small part of the initial data associated with charge conjugation by exploiting the null structure induced by the chiral operator.

Original language	English
Article number	021508
Journal	Journal of Mathematical Physics
Volume	64
Issue number	2
DOIs	https://doi.org/10.1063/5.0118132
State	Published - 2023.02.1

Quacquarelli Symonds(QS) Subject Topics

Physics & Astronomy

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10.1063/5.0118132

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title = "Charge conjugation approach to scattering for the Hartree type Dirac equations with chirality",

abstract = "We study the Cauchy problems for the Hartree-type nonlinear Dirac equations with Yukawa-type potential derived from the pseudoscalar field. We establish scattering for large data but with a relatively small part of the initial data associated with charge conjugation by exploiting the null structure induced by the chiral operator.",

author = "Yonggeun Cho and Seokchang Hong and Tohru Ozawa",

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T1 - Charge conjugation approach to scattering for the Hartree type Dirac equations with chirality

AU - Cho, Yonggeun

AU - Hong, Seokchang

AU - Ozawa, Tohru

PY - 2023/2/1

Y1 - 2023/2/1

N2 - We study the Cauchy problems for the Hartree-type nonlinear Dirac equations with Yukawa-type potential derived from the pseudoscalar field. We establish scattering for large data but with a relatively small part of the initial data associated with charge conjugation by exploiting the null structure induced by the chiral operator.

AB - We study the Cauchy problems for the Hartree-type nonlinear Dirac equations with Yukawa-type potential derived from the pseudoscalar field. We establish scattering for large data but with a relatively small part of the initial data associated with charge conjugation by exploiting the null structure induced by the chiral operator.

UR - https://www.scopus.com/pages/publications/85148770651

U2 - 10.1063/5.0118132

DO - 10.1063/5.0118132

M3 - Journal article

AN - SCOPUS:85148770651

SN - 0022-2488

VL - 64

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 2

M1 - 021508

ER -

Charge conjugation approach to scattering for the Hartree type Dirac equations with chirality

Abstract

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