q-Calculus and physics

Thomas Ernst
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Thomas Ernst: Uppsala University, Department of Mathematics

Chapter Chapter 12 in A Comprehensive Treatment of q-Calculus, 2012, pp 441-446 from Springer

Abstract: 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

Keywords: String Theory; Quantum Group; Topological String; Lorentz Group; Electroweak Interaction (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0431-8_12

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DOI: 10.1007/978-3-0348-0431-8_12

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