Heisenberg Uncertainty Principle for Momentum and Position Coordinates Referred to the Joule-Lenz Relation for Energy and Time

Abstract

The quantum aspects of the Joule-Lenz law for the dissipation of energy imply for small transition energies the validity of the formula E t = h where t is the transition time of an electron particle. The present paper points out that a similar relation px x = h is valid for a particle enclosed in a one-dimensional potential box on condition the momentum change px concerns two neighbouring quantum states. A corresponding change of the particle position coordinate x can be not so small.

The relation for px and x obtained for the one-dimensional case can be found to exist also in a three-dimensional system of the hydrogen atom taken as an example.

Keywords

dissipation time and energy of electron transitions NA reference of the momentum intervals to position intervals in transitions.

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  • Language & Pages

    English, 31-35

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    NA