The Quantum Dynamical Principle

Walter E Thirring

Yuri A. Rylov

Quantum systems are dynamic systems restricted by the principles of quantum mechanics (linearity of dynamic equations, linear transformation of the wave function etc.). One suggests to investigate the quantum systems simply as dynamic systems, ignoring the quantum principles and constraints imposed by them. Such dynamic methods of investigation appear to be more adequate and effective, than the conventional quantum methods of investigation. Using these methods, which ignore the quantum principles, one can overcome the principal problem of quantum field theory: join of nonrelativistic quantum principles with the relativity principles. Investigation of dynamic system, described by the Schroedinger equation, admits one to prove that the Copenhagen interpretation is incompatible with quantum mechanics formalism. Besides, it is shown that sometimes the application of quantum principles leads to incorrect results.

P. Stehle

The dynamical principle underlying nonrelativistic classical particle mechanics is stated in a way which brings it into exact analogy with the quantum principle. The classical equations of motion for a dynamical variable are then displayed in forms analogous to the Schrödinger, Heisenberg, and interaction forms in quantum theory.

Edgard Elbaz

Vladimir S. Mashkevich

The Principle of Sufficient Reason implies determinism. An explicit indeterministic quantum jump dynamics is constructed, which may be naturally transformed into a deterministic one. A consistent application of the Principle of Sufficient Reason results in a canonical deterministic dynamics.