3 research outputs found
Negative magneto-resistance of electron gas in a quantum well with parabolic potential
We have studied the electrical conductivity of the electron gas in parallel
electric and magnetic fields directed along the plane of a parabolic quantum
well (across the profile of the potential). We found a general expression for
the electrical conductivity applicable for any magnitudes of the magnetic field
and the degree of degeneration of the electron gas. A new mechanism of
generation of the negative magnetoresistance has been revealed. It has been
shown that in a parabolic quantum well with a non-degenerated electron gas the
negative magnetoresistance results from spin splitting of the levels of the
size quantization.Comment: 15 pages, 3 figure
Problems in quantum mechanics
Written by a pair of distinguished Soviet mathematicians, this compilation presents 160 lucidly expressed problems in nonrelativistic quantum mechanics plus completely worked-out solutions. Some were drawn from the authors' courses at the Moscow Institute of Engineering, but most were prepared especially for this book. A high-level supplement rather than a primary text, it constitutes a masterful complement to advanced undergraduate and graduate texts and courses in quantum mechanics.The mathematics employed in the proofs of the problems-asymptotic expansions of functions, Green's functions,