Quantum Mechanical Fourier–Hankel Representation Transform for an Electron Moving in a Uniform Magnetic Field

2004 ◽  
Vol 41 (3) ◽  
pp. 365-368
Author(s):  
Fan Hong-Yi
Keyword(s):  
Magnetic Field ◽  
Uniform Magnetic Field ◽  
Quantum Mechanical

scholarly journals Quantum mechanical grad-B drift velocity operator in a weakly non-uniform magnetic field

2016 ◽  
Vol 23 (2) ◽  
pp. 022104 ◽  
Author(s):  
Poh Kam Chan ◽  
Shun-ichi Oikawa ◽  
Wataru Kosaka
Keyword(s):  
Magnetic Field ◽  
Drift Velocity ◽  
Uniform Magnetic Field ◽  
Quantum Mechanical

NEW REPRESENTATION FOR DESCRIBING LOWERING AND ASCENDING OF AN ELECTRON'S ANGULAR MOMENTUM IN A UNIFORM MAGNETIC FIELD

1999 ◽  
Vol 13 (08) ◽  
pp. 249-254 ◽  
Author(s):  
HONG-YI FAN ◽  
H. ZOU ◽  
YUE FAN
Keyword(s):  
Magnetic Field ◽  
Angular Momentum ◽  
Uniform Magnetic Field ◽  
Quantum Mechanical ◽  
Quantum Mechanical Representation ◽  
Lowering Operators

We construct a new quantum mechanical representation |l,r> for describing an electron's angular momentum in a uniform magnetic field, where l is the eigenvalue of the azimuthal angular momentum Lz and r is the orbit radius of the electron's motion. The ascending and lowering operators for |l,r>→|l± 1,r> are also obtained. Throughout our discussion the <λ| representation is fully employed (see Hong-Yi Fan and Yong Ren, Mod. Phys. Lett.B10, 523 (1996).

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