Pair creation rates for one-dimensional fermionic and bosonic vacua

Journal Article · Tue Dec 15 00:00:00 EST 2009 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.80.062105· OSTI ID:21352295

Cheng, T; Ware, M R; Su, Q; Grobe, R ^[1]

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1. Intense Laser Physics Theory Unit and Department of Physics, Illinois State University, Normal, Illinois 61790-4560 (United States)

We compare the creation rates for particle-antiparticle pairs produced by a supercritical force field for fermionic and bosonic model systems. The rates obtained from the Dirac and Klein-Gordon equations can be computed directly from the quantum-mechanical transmission coefficients describing the scattering of an incoming particle with the supercritical potential barrier. We provide a unified framework that shows that the bosonic rates can exceed the fermionic ones, as one could expect from the Pauli-exclusion principle for the fermion system. This imbalance for small but supercritical forces is associated with the occurrence of negative bosonic transmission coefficients of arbitrary size for the Klein-Gordon system, while the Dirac coefficient is positive and bound by unity. We confirm the transmission coefficients with time-dependent scattering simulations. For large forces, however, the fermionic and bosonic pair-creation rates are surprisingly close to each other. The predicted pair creation rates also match the slopes of the time-dependent particle probabilities obtained from large-scale ab initio numerical simulations based on quantum field theory.

• OSTI ID: 21352295
• Journal Information: Physical Review. A, Vol. 80, Issue 6; Other Information: DOI: 10.1103/PhysRevA.80.062105; (c) 2009 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANTIPARTICLES
AXIOMATIC FIELD THEORY
BOSONS
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
DIRAC EQUATION
FERMIONS
KLEIN-GORDON EQUATION
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
ONE-DIMENSIONAL CALCULATIONS
PAIR PRODUCTION
PAULI PRINCIPLE
POTENTIALS
QUANTUM MECHANICS
RELATIVISTIC RANGE
SCATTERING
TIME DEPENDENCE
ANTIMATTER
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
EVALUATION
FIELD EQUATIONS
FIELD THEORIES
INTERACTIONS
MATHEMATICS
MATTER
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PRODUCTION
QUANTUM FIELD THEORY
SIMULATION
WAVE EQUATIONS