arXiv:cond-mat/0506653

Differences between application of some basic principles of quantum mechanics on atomic and mesoscopic levels

А. В. Никулов

Published Jun 24, 2005• 0 citations

Abstract

Formalism of the quantum mechanics developed for microscopic (atomic) level comes into collision with some logical difficulties on mesoscopic level. Some fundamental differences between application of its basic principles on microscopic and mesoscopic levels are accentuated.

DOI: 10.48550/arxiv.cond-mat/0506653

Related papers

Fundamental Differences Between Application of Basic Principles of Quantum Mechanics on Atomic and Higher Levels

А. В. Никулов

Recent experimental result has revealed that the Bohr’s quantization violates symmetry between opposite directions on the macroscopic level. This breach of symmetry is connected with challenge to the law of momentum conservation and the second law of thermodynamics.

arXiv:0707.0827AIP conference proceedingsJan 1, 20076 citations

Application of Quantum Mechanics

Iraj R. Afnan

Here we turn to some applications of quantum mechanics to systems in atoms, nuclei and solids that can be modeled in terms of one dimensional quantum systems.

BENTHAM SCIENCE PUBLISHERS eBooksApr 14, 20111 citation

Could the EPR correlation be in superconducting structures? Possibility of experimental verification

V. V. Aristov, А. В. Никулов

In order to have a chance to make a real quantum computer it is important to find the entanglement phenomenon on mesoscopic level since technology can not be able in the visible future to work on atomic level. It is known that the entanglement (the EPR correlation) violates the principle of local realism. Existence of EPR correlation on a level higher than atomic one violates both local and macroscopic realism. In order to clear possibility of this violation the fundamental difference between applications of the principles of quantum mechanics on atomic and higher level is considered. Mysterious nature of some macroscopic quantum phenomena is accentuated. Experimental verification of the entanglement possibility in superconductor structure is proposed.

arXiv:cond-mat/0604566Apr 25, 20061 citation

Quantum and Classical Mechanics as Limiting Cases of a New Mechanics (II)

Partha Ghose, Manoj K. Samal

Examples are worked out using mesomechanics proposed in the previous paper to show that it has new physical predictions for mesoscopic systems. 1

arXiv:quant-ph/0104105Apr 20, 20010 citations

The wave-corpuscle properties of microscopic particlesin the nonlinear quantum-mechanical systems

Pang Xiao‐feng

We debate first the properties of quantum mechanics and its difficulties and the reasons resulting in these diffuculties and its direction of development. The fundamental principles of nonlinear quantum mechanics are proposed and established based on these shortcomings of quantum mechanics and real motions and interactions of microscopic particles and backgound field in physical systems. Subsequently, the motion laws and wave-corpuscle duality of microscopic particles described by nonlinear Schr?dinger equation are studied completely in detail using these elementary principles and theories. Concretely speaking, we investigate the wave-particle duality of the solution of the nonlinear Schr?dinger equation, the mechanism and rules of particle collision and the uncertainty relation of particle’s momentum and position, and so on. We obtained that the microscopic particles obey the classical rules of collision of motion and satisfy the minimum uncertainty relation of position and momentum, etc. From these studies we see clearly that the moved rules and features of microscopic particle in nonlinear quantum mechanics is different from those in linear quantum mechanics. Therefore, nolinear quantum mechanics is a necessary result of development of quantum mechanics and represents correctly the properties of microscopic particles in nonlinear systems, which can solve difficulties and problems disputed for about a century by scientists in linear quantum mechanics field.

Natural ScienceJan 1, 20111 citation

Restructure of Quantum Mechanics by Duality, the Extensive Quantum Theory and Applications

Chang YF

Reconstructing quantum mechanics has been an exploratory direction for physicists. Based on logical structure and basic principles of quantum mechanics, we propose a new method on reconstruction quantum mechanics completely by the waveparticle duality. This is divided into two steps: First, from wave form and duality we obtain the extensive quantum theory, which has the same quantum formulations only with different quantum constants H; then microscopic phenomena determine H=h. Further, we derive the corresponding commutation relation, the uncertainty principle and Heisenberg equation, etc. Then we research potential and interactions in special relativity and general relativity. Finally, various applications and developments, and some basic questions are discussed.

Physical Science & Biophysics JournalFeb 2, 20244 citations