Stationary states of the semiclassical diffusion equation for a system in a blackbody radiation field

Journal Article · Sat Mar 01 00:00:00 EST 1986 · Hadronic J.; (United States)

OSTI ID:5387009

Battezzati, M

The Lorentz-Dirac equation for a nonrelativistic particle in a blackbody radiation field is solved by a stationary trial solution formed by a slowly varying part depending on the coordinate, which is supposed to be separable, plus a rapidly fluctuating part with zero average and constant variance, depending essentially on time only. Then an equation is obtained for the slowly varying part, including the stochastic field parameters, and this dependence is evaluated explicitly for special cases. The diffusion equation in coordinate space is established for this system in a general stationary state. It is shown that the condition for the probability density P(chi,t) to be representable in the same form as a quantum-mechanical pure state, is a certain relation between the diffusion coefficient in any stationary state and the value of the mean squared fluctuation of the momentum.

• Research Organization: Istituto di Fisica dell'Universita, 16132 Genova, Italy, and Istituto di Cibernetica e Biofisica del C.N.R., 16032 Camogli
• OSTI ID: 5387009
• Journal Information: Hadronic J.; (United States), Vol. 9:2
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIRAC EQUATION
ANALYTICAL SOLUTION
LORENTZ TRANSFORMATIONS
QUANTUM MECHANICS
EQUATIONS OF MOTION
FLUCTUATIONS
NEUTRON DIFFUSION EQUATION
PROBABILITY
QUANTUM FIELD THEORY
RELATIVITY THEORY
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
TRANSFORMATIONS
VARIATIONS
WAVE EQUATIONS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics