Parameter Space of Morse Oscillator
| Autor: | Tan, M. Y., Nurisya, M. S., Zainuddin, H. |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We present the analysis of mathematical structure of SU(2) group, specifically the commutation relation between raising and lowering operators of the Morse oscillator. The relationship between the commutator of operators and other parameters of Morse oscillator is investigated. We show that the mathematical structure of operators which depends on the parameters of Morse oscillator may change our conventional expectation. The parameter space of Morse oscillator is visualized to scrutinize the mathematical relations that are related to the Morse oscillator. This parameter space is the space of possible parameter values that depend on the depth of the Morse potential well and other parameters. The algorithm that we present is also applicable to other quantum systems with certain modifications. Comment: Correction on Figures in section 5 and adding new analysis in the discussion; Minor revision on title, abstract and conclusion; 8 pages, 5 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|