Attractors of nonlinear Hamiltonian partial differential equations
This is a survey of the theory of attractors of nonlinear Hamiltonian partial differential
equations since its appearance in 1990. Included are results on global attraction to …
equations since its appearance in 1990. Included are results on global attraction to …
[PDF][PDF] A survey on asymptotic stability of ground states of nonlinear Schrodinger equations II
arxiv:2009.00573v1 [math.AP] 1 Sep 2020 Page 1 arxiv:2009.00573v1 [math.AP] 1 Sep 2020
A survey on asymptotic stability of ground states of nonlinear Schrödinger equations II Scipio …
A survey on asymptotic stability of ground states of nonlinear Schrödinger equations II Scipio …
[BOOK][B] Lectures on quantum mechanics and attractors
A Komech - 2022 - books.google.com
This book gives a concise introduction to Quantum Mechanics with a systematic, coherent,
and in-depth explanation of related mathematical methods from the scattering theory and the …
and in-depth explanation of related mathematical methods from the scattering theory and the …
[BOOK][B] Quantum mechanics: genesis and achievements
A Komech - 2012 - books.google.com
The focus of the present work is nonrelativistic and relativistic quantum mechanics with
standard applications to the hydrogen atom. The author has aimed at presenting quantum …
standard applications to the hydrogen atom. The author has aimed at presenting quantum …
On stability of small solitons of the 1-D NLS with a trap** delta potential
We consider a nonlinear Schrödinger equation (NLS) with a very general nonlinear term
and with a trap** δ potential on the line. We then discuss the asymptotic behavior of all its …
and with a trap** δ potential on the line. We then discuss the asymptotic behavior of all its …
Global attraction to solitary waves for a nonlinear Dirac equation with mean field interaction
We consider a U(1)-invariant nonlinear Dirac equation in dimension n\geq1, interacting with
itself via the mean field mechanism. We analyze the long-time asymptotics of solutions and …
itself via the mean field mechanism. We analyze the long-time asymptotics of solutions and …
On global attraction to solitary waves for the Klein–Gordon field coupled to several nonlinear oscillators
The global attraction is established for the U (1)-invariant Klein–Gordon equation in one
dimension coupled to a finite number of nonlinear oscillators. Each finite energy solution is …
dimension coupled to a finite number of nonlinear oscillators. Each finite energy solution is …
On quantum jumps and attractors of the Maxwell–Schrödinger equations
AI Komech - Annales mathématiques du Québec, 2022 - Springer
Our goal is the discussion of the problem of mathematical interpretation of basic postulates
(or “principles”) of Quantum Mechanics: transitions to quantum stationary orbits, the wave …
(or “principles”) of Quantum Mechanics: transitions to quantum stationary orbits, the wave …
Weak attractor of the Klein-Gordon field in discrete space-time interacting with a nonlinear oscillator
A Comech - arxiv preprint arxiv:1203.3233, 2012 - arxiv.org
We consider the U (1)-invariant nonlinear Klein-Gordon equation in discrete space and
discrete time, which is the discretization of the nonlinear continuous Klein-Gordon equation …
discrete time, which is the discretization of the nonlinear continuous Klein-Gordon equation …
Global attractor for 1D Dirac field coupled to nonlinear oscillator
Global attraction to solitary waves is proved for a model U (1) U (1)-invariant nonlinear 1D
Dirac equation coupled to a nonlinear oscillator: each finite energy solution converges as t …
Dirac equation coupled to a nonlinear oscillator: each finite energy solution converges as t …