Pair formation by a deep potential well
Journal Article
·
· Sov. J. Nucl. Phys. (Engl. Transl.); (United States)
OSTI ID:5579286
We obtain solutions of the Dirac and Klein-Gordon equations for a symmetric one-dimensional potential well with a flat bottom, and arbitrary depth, width, and field strength at the walls. Quasistationary solutions are found describing pair creation by the well, and the inverse process. It is shown that when the probability of pair creation by the well is small, it can be expressed in terms of the probability of pair creation at one of the walls and the oscillation frequency of the particle in the well. Among the states of the lower continuum, there are positron resonance scattering states for supercritical well depths. The energies of these states are close to the real part of the quasistationary energy level (the Zel'dovich effect). The qualitative dependence of the transmission coefficient of the positron through the well on its energy and the well width supports the idea that the solution of the so-called one-particle Dirac equation describes a many-particle system with charge 0 or 1.
- Research Organization:
- P. N. Lebedev Physics Institute, Academy of Sciences of the USSR
- OSTI ID:
- 5579286
- Journal Information:
- Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 46:1; ISSN SJNCA
- Country of Publication:
- United States
- Language:
- English
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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
ANALYTICAL SOLUTION
ANTILEPTONS
ANTIMATTER
ANTIPARTICLES
BOUND STATE
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTARY PARTICLES
ENERGY LEVELS
EQUATIONS
FERMIONS
KLEIN-GORDON EQUATION
LEPTONS
MANY-BODY PROBLEM
NUCLEAR POTENTIAL
PARTIAL DIFFERENTIAL EQUATIONS
POSITRONS
POTENTIALS
SCATTERING
SQUARE-WELL POTENTIAL
WAVE EQUATIONS
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
ANTILEPTONS
ANTIMATTER
ANTIPARTICLES
BOUND STATE
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTARY PARTICLES
ENERGY LEVELS
EQUATIONS
FERMIONS
KLEIN-GORDON EQUATION
LEPTONS
MANY-BODY PROBLEM
NUCLEAR POTENTIAL
PARTIAL DIFFERENTIAL EQUATIONS
POSITRONS
POTENTIALS
SCATTERING
SQUARE-WELL POTENTIAL
WAVE EQUATIONS