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).

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

Effects of a uniform external magnetic field on the magnetic properties of a pure dipolar planar system

2006 ◽  
Vol 73 (9) ◽  
Author(s):  
A. M. Abu-Labdeh ◽  
A. B. MacIsaac ◽  
J. P. Whitehead ◽  
K. De’Bell ◽  
M. G. Cottam
Keyword(s):  
Magnetic Field ◽  
Magnetic Properties ◽  
External Magnetic Field ◽  
Planar System ◽  
Uniform External Magnetic Field

Observation of soft glassy behavior in a magnetic colloid exposed to an external magnetic field

Soft Matter ◽  
2020 ◽  
Vol 16 (30) ◽  
pp. 7126-7136
Author(s):  
Sithara Vinod ◽  
Philip J. Camp ◽  
John Philip
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Applied Field ◽  
Uniform Magnetic Field ◽  
Volume Fraction ◽  
High Rate ◽  
Glassy Behavior ◽  
Low Volume

Microstructures (viewed in a direction perpendicular and parallel to the applied field) responsible for soft glassy behavior in a ferrofluid of low volume fraction when a uniform magnetic field is applied at a sufficiently high rate.

scholarly journals Flux tubes in Nf = 2 + 1 QCD with external magnetic fields

2018 ◽  
Vol 175 ◽  
pp. 12008 ◽  
Author(s):  
Claudio Bonati ◽  
Salvatore Calì ◽  
Massimo D’Elia ◽  
Michele Mesiti ◽  
Francesco Negro ◽  
...  
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Tree Level ◽  
Magnetic Field Direction ◽  
Physical Point ◽  
Flux Tubes ◽  
Gauge Action ◽  
Uniform External Magnetic Field ◽  
Static Quark ◽  
The Magnetic Field

We study the behavior of the confining flux tube in Nf = 2 + 1 QCD at the physical point, discretized with the stout smearing improved staggered quark action and the tree level Symazik gauge action. We discuss how it depends on a uniform external magnetic field, showing how it displays anisotropies with respect to the magnetic field direction. Moreover, we compare the observed anisotropy pattern with that of the static quark-antiquark (QQ̅) potential we obtained in [1, 2].

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