The relativistic dynamics of a charge in the presence of the radiation reaction force is solved in general. It is shown that the solution admits mass conversion of the charge into the energy of the electromagnetic field. The mechanism of annihilation is demonstrated on the example of the radiative capture of the electron by the proton.

Angular momentum is important concept in physics, and its phase space properties are important in various applications. In this work phase space analysis of the angular momentum is made from its classical definition, and by imposing uncertainty principle its quantum properties are obtained. It is shown that kinetic energy operator is derived, but it has different interpretation of its parts than in the standard treatment. Rigid rotor is discussed and it is shown what is its phase space representation. True rigid rotor is defined and also its phase space properties are discussed.

Dynamics of a particle is formulated from classical principles that are amended by the uncertainty principle. Two best known quantum effects: interference and tunneling are discussed from these principles. It is shown that identical to quantum results are obtained by solving only classical equations of motion. Within the context of interference Aharonov-Bohm effect is solved as a local action of magnetic force on the particle. On the example of tunneling it is demonstrated how uncertainty principle amends traditional classical mechanics: it allows the momentum of the particle to change without the force being the cause of it.

Abstract : The Final Proceedings for Brijuni conference - Important problems for the XXI century, 28 August 2000 - 1 September 2000 This is a multi-disciplinary conference covering basic research topics in chemistry, physics and biology

Dynamics of a particle is formulated from classical principles that are amended by the uncertainty principle. Two best known quantum effects: interference and tunneling are discussed from these principles. It is shown that identical to quantum results are obtained by solving only classical equations of motion. Within the context of interference Aharonov-Bohm effect is solved as a local action of magnetic force on the particle. On the example of tunneling it is demonstrated how uncertainty principle amends traditional classical mechanics: it allows the momentum of the particle to change without the force being the cause of it.

A method for calculating state-to-state rotational three-dimensional (3D) total cross sections from two-dimensional (2D) close-coupled equations is described. The idea is to replace the S-matrices in the 3D cross sections by those obtained from the 2D calculations. The correctness of the approximation is proved from the quantum 3D hard shape model. Classical trajectory calculations are performed for very high collision energy (0.2 eV) and compared with the proposed method showing satisfactory agreement. The accuracy of the method is checked on a few examples by comparing the results with the standard close-coupling calculations and classical trajectories. The method is a powerful tool for studying systems in which a large amount of energy is transferred between translation of atoms and rotations of molecules.

It can be shown that for potentials of a general parabolic type classical and quantum theory give identical results if only one assumption is made: that in classical theory the uncertainty principle is one of its basic postulates. The identity is extended to more general potentials in this paper, and on the example of scattering on a step potential this is explicitly shown.

By shifting the emphasis from the concept of trajectory to the concept of probability density it is possible to incorporate the uncertainty principle into classical mechanics. This amendment in the nonrelativistic classical theory is sufficient to derive the Schrodinger equation for a general potential. In order to show that the approach has general validity it is necessary to show that it can be generalized to the classical relativistic dynamics. In this paper it is shown how this generalization is achieved for a free particle, and as a result the Dirac instead of the Klein–Gordon equation is obtained. It is shown that the spin and the magnetic moment of charged particles are classical in character because their correct values are calculated as the averages over the classical (relativistic) phase space density, subject to the constraint imposed by the uncertainty principle. Since the Dirac equation has direct connection to the classical (relativistic) dynamics the problem of the positive and negative ene...

The relativistic dynamics of a charged particle when it is interacting with its own electromagnetic field is analysed. The effect of the reaction force is relatively small but it is significant in the energy balance between the field and particle. It is found that a pulse in the radiation field is formed when the initial conditions simulate the creation of a particle.