Resonance tunneling through a nonstationary potential

Journal Article · Sat Feb 01 04:00:00 EST 1986 · Theor. Math. Phys.; (United States)

OSTI ID:7166591

Sokolovskii, D G; Sumetskii, M Y

The authors considerd how the probability of resonance tunneling is changed when there is superimposed on the stationary potential a nonstationary perturbation, which may be greater than or of the order of the width of a level in the well. The influence of nonstationary perturbation of the potential on tunneling was investigated numerically for the model of a barrier of zero radius, in which it was shown that at certain frequencies there can be complete reflection from the barrier. The authors write down quasiclassical solutions of the Schrodinger equation with the considered potential. Matching rules are obtained in neighborhoods of turning points and an equation is derived for the transmission probability amplitude. Quantization rules in the well are presented and an expression for the probability of nonresonance tunneling is given.

• Research Organization: M.A. Bonch-Bruevich Electrical Engineering Institute of Communications, Leningrad
• OSTI ID: 7166591
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 64:2; ISSN TMPHA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BREIT-WIGNER FORMULA
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
HADRONS
HAMILTONIANS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RESONANCE
RESONANCE PARTICLES
SCHROEDINGER EQUATION
TUNNEL EFFECT
WAVE EQUATIONS