Quantum Harmonic Oscillator Subjected to Quantum Vacuum Fluctuations

Journal Article · Tue May 04 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3431497· OSTI ID:21367271

Gevorkyan, A S ^[1]; Burdik, C ^[2]; Oganesyan, K B ^[3]

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1. Institute for Informatics and Automation Problems, NAS of Armenia, 0014, 1 P. Sevak Str., 0014 Yerevan (Armenia)
2. Technical University of Prague (Czech Republic)
3. Yerevan Physics Institute, Yerevan (Armenia)

Spontaneous transitions between bound states of an atomic system, 'Lamb Shift' of energy level, as well as many other phenomena in real nonrelativistic quantum systems are connected with the influence of quantum vacuum fluctuations which are impossible to consider in the limits of standard quantum-mechanical approaches. The joint system 'quantum harmonic oscillator (QHO)+ environment' is described in terms of complex probabilistic processes (CPP) which satisfies a stochastic differential equation (SDE) of Langevin-Schroedinger (L-Sch) type. On the basis of orthogonal CPP, the method of stochastic density matrix (SDM) is developed. The energy spectrum of QHO and a possibility of infringement of detailed balance of transitions between quantum levels including spontaneous decay of <<ground state>> are investigated by the SDM method.

• OSTI ID: 21367271
• Journal Information: AIP Conference Proceedings, Vol. 1232, Issue 1; Conference: QTRF5: 5. ICMM (International Centre for Mathematical Modelling in Physics) conference on quantum theory: Reconsideration of foundations, Vaexjoe (Sweden), 14-18 Jun 2009; Other Information: DOI: 10.1063/1.3431497; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUND STATE
DENSITY MATRIX
ENERGY SPECTRA
FLUCTUATIONS
GROUND STATES
HARMONIC OSCILLATORS
LAMB SHIFT
PROBABILISTIC ESTIMATION
PROBABILITY
QUANTUM MECHANICS
SCHROEDINGER EQUATION
STOCHASTIC PROCESSES
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
ENERGY LEVELS
EQUATIONS
MATRICES
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
SPECTRA
SPECTRAL SHIFT
VARIATIONS
WAVE EQUATIONS