Physics – Quantum Physics
Scientific paper
1997-12-14
IHPCDB-3(97)
Physics
Quantum Physics
LaTeX, 19 pages, 5 figures, title changed
Scientific paper
The system of oscillator interacting with vacuum is considered as a problem of random motion of quantum reactive harmonic oscillator (QRHO). It is formulated in terms of a wave functional regarded as complex probability process in the extended space. This wave functional obeys some stochastic differential equation (SDE). Based on the nonlinear Langevin type SDE of second order, introduced in the functional space R{W(t)}, the variables in original equation are separated. The general measure in the space R{W(t)} of the Fokker-Plank type is obtained and expression for total wave function (wave mixture) of random QRHO is constructed as functional expansion over the stochastic basis set. The pertinent transition matrix S_br is constructed. For Wiener type measure W(t) of functional space the exact representation for ''vacuum-vacuum'' transition probability is obtained. The thermodynamics of vacuum is described in detail for the asymptotic space R1_as. The exact values for Energy, shift and expansion of ground state of oscillator and its Entropy are calculated.
Bogdanov Alexander V.
Gevorkyan Ashot S.
No associations
LandOfFree
Random motion of quantum reactive harmonic oscillator. Thermodynamics of Vacuum of Asymptotic Subspace does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Random motion of quantum reactive harmonic oscillator. Thermodynamics of Vacuum of Asymptotic Subspace, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random motion of quantum reactive harmonic oscillator. Thermodynamics of Vacuum of Asymptotic Subspace will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-345042