A GENERALIZED MEAN FIELD APPROACH TO THE POLARON

DOI10.1142/S0218202501001495zbMath1011.81009OpenAlexW2076406661MaRDI QIDQ4798927

Juanjo Nieto

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202501001495

zbMATH Keywords

variational formulationglobal in time existence and uniquenesselectron in a lattice of charged ions

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) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of solids (82D20)

Cites Work

• Non-exponential decay for polaron model
• On the time evolution of the mean-field polaron
• Asymptotics for the polaron
• Spectral properties of an optical polaron in a magnetic field
• Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner–Poisson and Schrödinger‐Poisson systems
• L² Solutions to the Schrödinger–Poisson System: Existence, Uniqueness, Time Behaviour, and Smoothing Effects
• A variational approach to the Schrödinger-Poisson system: asymptotic behaviour, breathers, and stability