The symplectic group in Polymer Quantum Mechanics
| Autor: | Angel Garcia-Chung |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
chemistry.chemical_classification Quantitative Biology::Biomolecules Quantum Physics Symplectic group Scale (ratio) 010308 nuclear & particles physics Propagator FOS: Physical sciences Polymer free Polymer General Relativity and Quantum Cosmology (gr-qc) Mathematical Physics (math-ph) 01 natural sciences General Relativity and Quantum Cosmology Condensed Matter::Soft Condensed Matter chemistry Quantum mechanics 0103 physical sciences Particle 010306 general physics Representation (mathematics) Quantum Physics (quant-ph) Harmonic oscillator Mathematical Physics |
| Popis: | In this paper we provide the representation of the symplectic group $Sp(2n, \mathbb{R})$ in polymer quantum mechanics. We derive the propagator of the polymer free particle and the polymer harmonic oscillator without considering a polymer scale. The polymer scale is then introduced to reconcile our results with those expressions for the polymer free particle. The propagator for the polymer harmonic oscillator implies non-unitary evolution. 20 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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