A modified Mehler formula and the Green function of the free electron in a uniform magnetic field

1976 ◽  
Vol 9 (7) ◽  
pp. 1073-1075 ◽  
Author(s):  
F Bellandi ◽  
E S Caetano-Neto ◽  
S M L Pavao
Keyword(s):  
Magnetic Field ◽  
Green Function ◽  
Free Electron ◽  
Uniform Magnetic Field ◽  
The Green Function

A free-electron laser in a uniform magnetic field

1979 ◽  
Vol 20 (1) ◽  
pp. 41-50 ◽  
Author(s):  
S. K. Ride ◽  
W. B. Colson
Keyword(s):  
Magnetic Field ◽  
Free Electron ◽  
Free Electron Laser ◽  
Uniform Magnetic Field

The Wannier Functions of the Lattice Electron in a Uniform Magnetic Field

1966 ◽  
Vol 21 (10) ◽  
pp. 1577-1579 ◽  
Author(s):  
A. Jannussis
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Wave Vector ◽  
Free Electron ◽  
Vector Potential ◽  
Uniform Magnetic Field ◽  
Wannier Function ◽  
Wannier Functions ◽  
Uniform External Magnetic Field

In this paper a generalization of the WANNIER functions is performed for the case of the lattice electron moving in a uniform magnetic field.In the case of the free electron moving in a uniform external magnetic field, the WANNIER function may be obtained directly by the Schrauben-function, if the wave vector k is substituted by the vector potential — (1/c) A (ai).

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