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WAVE PARTICLE DUALITY IN NEWTONIAN MECHANICS

Bag, A.

Department of Chemical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur-741246, West Bengal, India

68-72

Vol: 5, Issue: 4, 2015

Receiving Date: 2015-08-13 Acceptance Date:

2015-09-12

Publication Date:

2015-10-16

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Abstract

Wave particle duality is one of the most fundamental ideas that involves in the development of quantum mechanics. Louis de Broglie derived wave particle duality relation using spacial relativity theory and wave mechanics. In this article wave nature of a moving particle is investigated and explained using Newtonian mechanics only. It is observed that in this universe even a fully symmetric and spin free particle may move in a linear motion only in a force-field free region. Using Newtonian mechanics a relation between wave length and momentum of a moving particle is obtained which is equivalent to de Broglie's relation. But, proportionality constant, b, used in present relation, depends on force-field and spin moment of the moving particle. Wave length of a moving particle according to the present theory may be equivalent to de Broglie's wave length or may be a correction term to de Broglie's wave length due to field perturbation, is a matter of debate.

Keywords: Wave particle duality; Newtonian mechanics; symmetric particle; linear motion; force-field

References

  1. de Broglie, L. 1925. On the theory of quanta. Ann. De Physique 3: 22 Einstein, A. 1917. Sitzungsber Preuss Akademia Wiss p-142
  2. Weinberger, P. 2006. Revisiting Louis de Broglie's famous 1924 paper in the Philosophical Magazine. Philosophical Magazine Letters 86: 405-410
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