scholarly journals On The Adiabatic Motion Of A Charged Particle In The Quasi-Static Magnetic Field Of A Solenoid

1966 ◽  
Vol 19 (6) ◽  
pp. 735 ◽  
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Static Magnetic Field ◽  
Time Dependent ◽  
Adiabatic Motion ◽  
Phase Amplitude

Following an alternative phase-amplitude derivation of the general forms of r and q, obtained earlier by Seymour, Leipnik, and Nicholson (SLN) for the motion of a charged particle in the time-dependent magnetic field within a long solenoid, the guiding-ce

scholarly journals A Quantum Charged Particle under Sudden Jumps of the Magnetic Field and Shape of Non-Circular Solenoids

2019 ◽  
Vol 1 (2) ◽  
pp. 193-207 ◽  
Author(s):  
Viktor V. Dodonov ◽  
Matheus B. Horovits
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Magnetic Fields ◽  
Electric Fields ◽  
Cross Sections ◽  
Magnetic Moment ◽  
Landau Gauge ◽  
Time Dependent ◽  
The Mean ◽  
The Magnetic Field

We consider a quantum charged particle moving in the x y plane under the action of a time-dependent magnetic field described by means of the linear vector potential of the form A = B ( t ) − y ( 1 + β ) , x ( 1 − β ) / 2 . Such potentials with β ≠ 0 exist inside infinite solenoids with non-circular cross sections. The systems with different values of β are not equivalent for nonstationary magnetic fields or time-dependent parameters β ( t ) , due to different structures of induced electric fields. Using the approximation of the stepwise variations of parameters, we obtain explicit formulas describing the change of the mean energy and magnetic moment. The generation of squeezing with respect to the relative and guiding center coordinates is also studied. The change of magnetic moment can be twice bigger for the Landau gauge than for the circular gauge, and this change can happen without any change of the angular momentum. A strong amplification of the magnetic moment can happen even for rapidly decreasing magnetic fields.

Resonance behavior of a charged particle in presence of a time dependent magnetic field

2015 ◽  
Vol 142 (15) ◽  
pp. 154122 ◽  
Author(s):  
Somrita Ray ◽  
Madhumita Rano ◽  
Bidhan Chandra Bag
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Time Dependent ◽  
Resonance Behavior

Geometrical squeezed states of a charged particle in a time-dependent magnetic field

1994 ◽  
Vol 188 (3) ◽  
pp. 232-238 ◽  
Author(s):  
V.V. Dodonov ◽  
V.I. Man'ko ◽  
P.G. Polynkin
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Time Dependent ◽  
Squeezed States
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