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Jaina Philosophy and Quantum Mechanical Concepts
Dr. S. D. Sharma Quantum mechanics has entirely different types of concepts than classical mechanics. Here theory of causation (#141*170-979-facia) has been replaced by concepts of probability densities. These developments have taken place after introduction of uncertainty principle by Heisenburg in 1925. Although many top physicists, like Albert Einstein of that time were very much opposed to these notions but these ideas developed and got firm maturity during the last few decades. Now the formulations based on syllogism etc. are at their fag end and new pavements have been formed for radically new results in microscopic worlds. All these formulations are based on the uncertainty in position and momentum of microscopic system due to the disturbance caused by the use of unavoidable instruments in these studies. The strict causation theoretical approach is valid for microscopic world (FETT TTT) only, while in dynamics of unisolated microscopic systems uncertainty creeps in and in this domain probability language is the only shelter.
If there is an electron with 0.5 me, v. of energy (E) and a barrier of V.=1.0 me.V., according to classical notions the electron can not cross this potential barrier while according to the quantum mechanical concepts there is a finite probability of transmission, as the electron behaves like a wave and some fraction of intensity will be transmitted after suffering refraction at the barrier but it is only in terms of probability over a large number of electrons that one can talk of this event and not specifically for any individual electron. Similar is the situation in case of a barrier with an energy lesser (say 0-2 me v.) than that of the impinging electron. In this case, there is a probability that electron may not be able to cross the barrier which is against the classical notions of cause and effect, There are cases where probability
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