Virial identities and energy-momentum relation for solitary waves of nonlinear Dirac equations

DOI10.1134/S1995080220060074zbMath1450.35228arXiv1404.6941OpenAlexW2790083222MaRDI QIDQ2206692

Tat'yana V. Dudnikova

Publication date: 28 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6941

zbMATH Keywords

solitary wavesnonlinear Dirac equationEinstein energy-momentum relationMaxwell-Dirac and Klein-Gordon-Dirac equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Energy-momentum relation for solitary waves of relativistic wave equations
• Existence of stationary states for nonlinear Dirac equations
• Existence of excited states for a nonlinear Dirac field
• Existence of localized solutions for a classical nonlinear Dirac field
• On the Maxwell-Dirac equations with zero magnetic field and their solution in two space dimensions
• An overview on linear and nonlinear Dirac equations
• On certain global solutions of the Cauchy problem for the (classical) coupled Klein-Gordon-Dirac equations in one and three space dimensions
• Stationary states of the nonlinear Dirac equation: A variational approach
• Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations
• Global solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension
• Existence of standing waves for Dirac fields with singular nonlinearities
• The gravitational equations and the problem of motion
• Variational methods in relativistic quantum mechanics
• A solitary wave solution of the Maxwell-Dirac equations
• The cauchy problem for the coupled maxwell and dirac equations
• Perturbation method for a class of nonlinear Dirac equations

This page was built for publication: Virial identities and energy-momentum relation for solitary waves of nonlinear Dirac equations