Existence of a ground state for the Nelson model with a singular perturbation

被引：3

作者：

Hidaka, Takeru ^{[1
]}

机构：

[1] Kyushu Univ Fukuoka, Grad Sch Math, Fukuoka 8190395, Japan

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2011年 / 52卷 / 02期

关键词：

PAULI-FIERZ HAMILTONIANS; QUANTUM-FIELD THEORY; NONRELATIVISTIC PARTICLES; INFRARED CUTOFF; SCALAR FIELD; BOSE FIELD;

D O I：

10.1063/1.3548076

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The existence of a ground state of the Nelson Hamiltonian with perturbations of the form Sigma(4)(j=1) c(j)phi(j) with c(4) > 0 is considered. The self-adjointness of the Hamiltonian and the existence of a ground state are proven for arbitrary values of coupling constants. (C) 2011 American Institute of Physics. [doi:10.1063/1.3548076]

引用

页数：21

共 50 条

[11] Absence of ground state for the Nelson model on static space-times
Gerard, C.
Hiroshima, F.
Panati, A.
Suzuki, A.
JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 262 (01) : 273 - 299
[12] EXISTENCE OF BOUND STATE SOLUTIONS FOR DEGENERATE SINGULAR PERTURBATION PROBLEMS WITH SIGN-CHANGING POTENTIALS
Alves, Maria J.
Assuncao, Ronaldo B.
Carriao, Paulo C.
Miyagaki, Olimpio H.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[13] PERTURBATION APPROACH TO THE GROUND-STATE OF THE ASYMMETRIC ANDERSON MODEL
INAGAKI, S
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1980, 15-8 (JAN-) : 951 - 952
[14] Existence of a ground state solution for a singular elliptic problem in unbounded domain and dimension 2
Abreu, Rafael
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 98 : 104 - 109
[15] SINGULAR PERTURBATION OF LINEAR STATE REGULATORS
HADDAD, AH
KOKOTOVIC, PV
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1971, AC16 (03) : 279 - +
[16] Existence of ground state solutions for a class of Choquard equations with local nonlinear perturbation and variable potential
Zhang, Jing
Zhang, Qiongfen
BOUNDARY VALUE PROBLEMS, 2021, 2021 (01)
[17] Existence of ground state solutions for a class of Choquard equations with local nonlinear perturbation and variable potential
Jing Zhang
Qiongfen Zhang
Boundary Value Problems, 2021
[18] Singular perturbation problem for steady state solutions to a model equation of phase separation
Hanada, T
Ishimura, N
Nakamura, M
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2005, 85 (12): : 896 - 903
[19] Existence and instability of spike layer solutions to singular perturbation problems
Bates, PW
Shi, JP
JOURNAL OF FUNCTIONAL ANALYSIS, 2002, 196 (02) : 211 - 264
[20] Existence of a ground state solution for a class of singular elliptic equation without the A-R condition
Liu, Yanjun
Qi, Shijie
Zhao, Peihao
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 39 : 233 - 245

← 1 2 3 4 5 →