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Generalized Heisenberg relation and Quantum Harmonic Oscillators

P. Narayana Swamy
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Abstract

We study the consequences of the generalized Heisenberg uncertainty relation which admits a minimal uncertainty in length such as the case in a theory of quantum gravity. In particular, the theory of quantum harmonic oscillators arising from such a generalized uncertainty relation is examined. We demonstrate that all the standard properties of the quantum harmonic oscillators prevail when we employ a generalized momentum. We also show that quantum electrodynamics and coherent photon states can be described in the familiar standard manner despite the generalized uncertainty principle.

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P. Narayana Swamy. 2006-10-10. Generalized Heisenberg relation and Quantum Harmonic Oscillators. https://doi.org/10.1142/s0217751x06034458

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