Classical Mechanics’ Approaches in Atomic Collisions

The analytical review of the papers devoted to the deterministic mechanism of irreversibility (DMI) is presented. The history of solving of the irreversibility problem is briefly described. It is shown, how the DMI was found basing on the motion equation for a structured body. The structured body was given by a set of potentially interacting material points. The taking into account of the body’s structure led to the possibility of describing dissipative processes. This possibility caused by the transformation of the body’s motion energy into internal energy. It is shown, that the condition of holonomic constraints, which used for obtaining of the canonical formalisms of classical mechanics, is excluding the DMI in Hamiltonian systems. The concepts of D-entropy and evolutionary non-linearity are discussed. The connection between thermodynamics and the laws of classical mechanics is shown. Extended forms of the Lagrange, Hamilton, Liouville, and Schrödinger equations, which describe dissipative processes, are presented.

Download Full-text

Rosen-Chambers Variation Theory of Linearly-Damped Classic and Quantum Oscillator

JOURNAL OF ADVANCES IN PHYSICS ◽

10.24297/jap.v4i1.6966 ◽

2014 ◽

Vol 4 (1) ◽

pp. 404-426

Author(s):

Vincze Gy. Szasz A.

Keyword(s):

Harmonic Oscillator ◽

Classical Mechanics ◽

Universal Time ◽

Variation Theory ◽

Quantum Oscillator ◽

Variation Principle ◽

Poisson Brackets ◽

Mathematical Meaning ◽

Damped Harmonic Oscillator ◽

Damped Oscillator

Phenomena of damped harmonic oscillator is important in the description of the elementary dissipative processes of linear responses in our physical world. Its classical description is clear and understood, however it is not so in the quantum physics, where it also has a basic role. Starting from the Rosen-Chambers restricted variation principle a Hamilton like variation approach to the damped harmonic oscillator will be given. The usual formalisms of classical mechanics, as Lagrangian, Hamiltonian, Poisson brackets, will be covered too. We shall introduce two Poisson brackets. The first one has only mathematical meaning and for the second, the so-called constitutive Poisson brackets, a physical interpretation will be presented. We shall show that only the fundamental constitutive Poisson brackets are not invariant throughout the motion of the damped oscillator, but these show a kind of universal time dependence in the universal time scale of the damped oscillator. The quantum mechanical Poisson brackets and commutation relations belonging to these fundamental time dependent classical brackets will be described. Our objective in this work is giving clearer view to the challenge of the dissipative quantum oscillator.

Download Full-text

Sound as a transverse wave

JOURNAL OF ADVANCES IN PHYSICS ◽

10.24297/jap.v13i1.5670 ◽

2017 ◽

Vol 13 (1) ◽

pp. 4522-4534

Author(s):

Armando TomÃ¡s Canero

Keyword(s):

Quantum Mechanics ◽

Gravitational Waves ◽

Longitudinal Wave ◽

Transverse Wave ◽

Sound Propagation ◽

Correspondence Principle ◽

Classical Mechanics ◽

Wave Model ◽

Scientific Experiments

This paper presents sound propagation based on a transverse wave model which does not collide with the interpretation of physical events based on the longitudinal wave model, but responds to the correspondence principle and allows interpreting a significant number of scientific experiments that do not follow the longitudinal wave model. Among the problems that are solved are: the interpretation of the location of nodes and antinodes in a Kundt tube of classical mechanics, the traslation of phonons in the vacuum interparticle of quantum mechanics and gravitational waves in relativistic mechanics.

Download Full-text