Asymptotic Theory of Resonant Tunneling in 3D Waveguides of Variable Cross-Section in a Magnetic Field

2014 ◽  
Vol 196 (4) ◽  
pp. 469-489 ◽  
Author(s):  
L. Baskin ◽  
B. Plamenevskii ◽  
O. Sarafanov
Keyword(s):  
Magnetic Field ◽  
Cross Section ◽  
Resonant Tunneling ◽  
Asymptotic Theory ◽  
Variable Cross Section ◽  
Variable Cross

Asymptotic Theory of Resonant Tunneling in 3D Quantum Waveguides of Variable Cross-Section

2010 ◽  
Vol 70 (5) ◽  
pp. 1542-1566 ◽  
Author(s):  
Lev Baskin ◽  
Pekka Neittaanmäki ◽  
Boris Plamenevsky ◽  
Oleg Sarafanov
Keyword(s):  
Cross Section ◽  
Resonant Tunneling ◽  
Asymptotic Theory ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Quantum Waveguides

Plasma-Konfigurationen mit Oberflächenströmen, die von einem Magnetfeld im Gleichgewicht gehalten werden

1958 ◽  
Vol 13 (4) ◽  
pp. 260-267
Author(s):  
R. Kippenhahn
Keyword(s):  
Magnetic Field ◽  
Cross Section ◽  
Axial Symmetry ◽  
Constant Pressure ◽  
Circular Cross Section ◽  
Variable Cross Section ◽  
Surface Currents ◽  
Variable Cross ◽  
Geometrical Properties ◽  
Variable Diameter

Configurations of a plasma with constant pressure and with surface-currents are examined which are in equilibrium with a exterior magnetic potential-field. With the aid of an existence-theorem from the theory of partial differential equations the question of the existence of such configurations is reduced to differential-geometrical properties of the surface of the plasma. These properties are then investigated for the torus of circular cross-section with an interior azimutal magnetic field and for a surface of axial symmetry with variable diameter. Finally a torus of variable cross-section is treated approximately.

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