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q-Calculus and physics

In: A Comprehensive Treatment of q-Calculus

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  • Thomas Ernst

    (Uppsala University, Department of Mathematics)

Abstract

We give a systematic summary of the applications of q-analysis in physics in nine separate sections. Each section is about a certain theme, the connection is the quantum group SU q (2). Both the Santilli hadron mechanics and the Wess-Zumino model for elementary particles use q-calculus as a mathematical model. We illustrate with equations for the classical q-oscillator, the q-commutator, the Heisenberg q-uncertainty relation, and the creation and annihilation operators. The titles of the subsections are: 1. The q-Coulomb problem and the q-hydrogen atom 2. Connections to knot theory 3. General relativity 4. Molecular and nuclear spectroscopy 5. Elementary particle physics and chemical physics 6. Electroweak interaction 7. String theory 8. Wess-Zumino model 9. Quantum Chromodynamics

Suggested Citation

  • Thomas Ernst, 2012. "q-Calculus and physics," Springer Books, in: A Comprehensive Treatment of q-Calculus, edition 127, chapter 0, pages 441-446, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0431-8_12
    DOI: 10.1007/978-3-0348-0431-8_12
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