Stochastic model of quantum mechanics

Ramabhadra Vasudevan

Mark P. Davidson

Some new results in the stochastic model of quantum mechanics are derived. The origin of the noncommutative algebra of quantum mechanics is given a simple interpretation within the stochastic model. Quantum expectations of mixed functions of coordinates and momenta are related to stochastic averages.

German A. Skorobogatov, Sergey Igorevich Svertilov

Both quantum mechanics and stochastic-process theory deal with dynamical systems the behaviors of which can be predicted only probabilistically. It is shown here that the measurable behavior of an elementary quantum system can be modeled as a non-Markovian stochastic process. The conclusion that quantum behavior can generally be modeled as a real stochastic process eliminates some mysterious characteristics of quantum mechanics when viewed in Copenhagen-interpretation terms.

Walter Lehr

T. F. Kamalov, Yu. P. Rybakov

Special stochastic representation of the wave function in Quantum Mechanics (QM), based on soliton realization of extended particles, is suggested with the aim to model quantum states via classical computer. Entangled solitons construction being introduced in the nonlinear spinor field model, the Einstein, Podolsky, Rosen (EPR) spin correlation is calculated and shown to coincide with the quantum mechanical one for the spin-1/2 particles in the singlet state. The concept of stochastic qubits is used for quantum computing modelling.