Nonlinear subelliptic Schrodinger equations with external magnetic field

Nonlinear subelliptic Schrodinger equations with external magnetic field

To account for an external magnetic field in a Hamiltonian of a quantum system on a manifold (modelled here by a subelliptic Dirichlet form), one replaces the the momentum operator $frac 1i d$ in the subelliptic symbol by $frac 1i d-alpha$, where $alphain TM^*$ is called a magnetic potential for the...

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Bibliographic Details
Main Author: Kyril Tintarev
Format: Article
Language:English
Published: Texas State University 2004-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Homogeneous spaces
magnetic field
Schrodinger operator
subelliptic operators
semilinear equations
weak convergence
concentration compactness.
Online Access:http://ejde.math.txstate.edu/Volumes/2004/123/abstr.html

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http://ejde.math.txstate.edu/Volumes/2004/123/abstr.html

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