Building a bridge between Classical and Quantum Mechanics

Finding way to bridge the gap between quantum and classical mechanics

We have calculated the momentum distributions of nanoparticles in diffraction and interference dependent on the effective screening mass parameter or size parameter and presented the calculations for a nanoparticle inside an infinite square potential well and for a tunnelling nanoparticle through a square potential barrier. These results display the transition from quantum to classical mechanics and the simultaneous wave-particle duality of nanoparticles. The concept that the effective screening effect increases with increasing size of an object paves way for development of nanomechanics and n…

Duality : A Bridge Between Physics And Philosophy?

A generalized view of Duality is offered as a bridge between physical sciences and the more abstract philosophical dimensions bordering on mysticism. To that end several examples of duality are first cited from from conventional physics sectors to illustrate the obvious powers of this principle. These include items from reciprocity in Newtonian mechanics to the problem of measurement duality that characterizes quantum mechanics. It is also noted that the latter has acquired a renewed interest in recent times, consequent on the emergence of new experimental techniques for testing the actual lab…

在谐振子动力学中探寻非对易与广义熵参数间的桥梁

Striving to find a bridge between noncommutative and generalized entropy parameters in the harmonic oscillator dynamics

本研究以谐振子能谱为基础，采用Tsallis与Renyi熵测度，探究非对易参数θ与广义熵指数q间的内在联系，为时空几何与广义统计力学的相互作用提供新见解。

The Macroscopic Quantum Effect in Nonlinear Oscillating Systems: a Possible Bridge between Classical and Quantum Physics

Einstein, De Broglie and others hoped that the schism between classical and quantum physics might one day be overcome by a theory taking into account the essential nonlinearity of elementary physical processes. However, neither their attempts, nor subsequent ones were able to supply a unifying principle that could serve as a starting-point for a coherent understanding of both microphysical and macroscopic phenomena. In the late 1960s the phenomenon of amplitude quantization, or Macroscopic Quantum Effect (MQE), was discovered in a class of nonlinear oscillating systems in which two or more sub…

Background Independent Quantum Mechanics, Classical Geometric Forms and Geometric Quantum Mechanics-I

The geometry of the symplectic structures and Fubini-Study metric is discussed. Discussion in the paper addresses geometry of Quantum Mechanics in the classical phase space. Also, geometry of Quantum Mechanics in the projective Hilbert space has been discussed for the chosen Quantum states. Since the theory of classical gravity is basically geometric in nature and Quantum Mechanics is in no way devoid of geometry, the explorations pertaining to more and more geometry in Quantum Mechanics could prove to be valuable for larger objectives such as understanding of gravity.

Background Independent Quantum Mechanics, Classical Geometric Forms and Geometric Quantum Mechanics-II

The geometry of Quantum Mechanics in the context of uncertainty and complementarity, and probability is explored. We extend the discussion of geometry of uncertainty relations in wider perspective. Also, we discuss the geometry of probability in Quantum Mechanics and its interpretations. We give yet another interpretation to the notion of Faraday lines and loops as the locus of probability flow. Also, the possibilities of visualization of spectra of area operators by means of classical geometric forms and conventional Quantum Mechanics are explored.