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Bloch electrons in a magnetic field: Rigorous justification of the Peierls-Onsager effective Hamiltonian

✍ Scribed by G. Nenciu

Publisher
Springer
Year
1989
Tongue
English
Weight
246 KB
Volume
17
Category
Article
ISSN
0377-9017

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✦ Synopsis

We present a rigorous justification of the Peieds-Onsager one-band effective Hamiltonian, starting from the one-particle Hamiltonian for Bloch electrons in a homogeneous magnetic field.

πŸ“œ SIMILAR VOLUMES

On the Derivation and the Properties of
On the Derivation and the Properties of an Effective Hamiltonian for a Polaron in an External Magnetic Field
✍ J. RΓΆseler; K. Henneberger; H. J. Fischbeck πŸ“‚ Article πŸ“… 1973 πŸ› John Wiley and Sons 🌐 English βš– 476 KB

## Abstract The lowest eigenvalues of Frohlich's Hamiltonian with a magnetic field are approximately determined by solving the eigenvalue problem of an effective Hamiltonian for a polaron in a magnetic field. The effective Hamiltonian can be diagonalized without approximations, and the eigenvalue p