The perturbation theory of matrix mechanics based on its canonical transformations
We elucidate that the canonical transformations of matrix mechanics are just the transformations of different representations of the standard quantum mechanics, reproduce the non-degenerate, degenerate and time-dependent perturbation theory in three men’s paper, we solve the mystery of time-dependen...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-12-01
|
| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722006611 |
| _version_ | 1811209279533744128 |
|---|---|
| author | Yong-Yi Huang |
| author_facet | Yong-Yi Huang |
| author_sort | Yong-Yi Huang |
| collection | DOAJ |
| description | We elucidate that the canonical transformations of matrix mechanics are just the transformations of different representations of the standard quantum mechanics, reproduce the non-degenerate, degenerate and time-dependent perturbation theory in three men’s paper, we solve the mystery of time-dependent perturbation theory of matrix mechanics. The Kramers’ dispersion formula from time-dependent perturbation theory of matrix mechanics is also derived from that of wave mechanics. |
| first_indexed | 2024-04-12T04:36:46Z |
| format | Article |
| id | doaj.art-5deb95c618ad4e4380dabd4e8f85ca78 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-12T04:36:46Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-5deb95c618ad4e4380dabd4e8f85ca782022-12-22T03:47:47ZengElsevierResults in Physics2211-37972022-12-0143106047The perturbation theory of matrix mechanics based on its canonical transformationsYong-Yi Huang0MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter and Department of Optoelectronic Information Science and Engineering, School of Physics, Xi’an Jiaotong University, Xi’an 710049, ChinaWe elucidate that the canonical transformations of matrix mechanics are just the transformations of different representations of the standard quantum mechanics, reproduce the non-degenerate, degenerate and time-dependent perturbation theory in three men’s paper, we solve the mystery of time-dependent perturbation theory of matrix mechanics. The Kramers’ dispersion formula from time-dependent perturbation theory of matrix mechanics is also derived from that of wave mechanics.http://www.sciencedirect.com/science/article/pii/S2211379722006611Representation theoryPerturbation theoryKramers’ dispersion formulaMatrix mechanics |
| spellingShingle | Yong-Yi Huang The perturbation theory of matrix mechanics based on its canonical transformations Results in Physics Representation theory Perturbation theory Kramers’ dispersion formula Matrix mechanics |
| title | The perturbation theory of matrix mechanics based on its canonical transformations |
| title_full | The perturbation theory of matrix mechanics based on its canonical transformations |
| title_fullStr | The perturbation theory of matrix mechanics based on its canonical transformations |
| title_full_unstemmed | The perturbation theory of matrix mechanics based on its canonical transformations |
| title_short | The perturbation theory of matrix mechanics based on its canonical transformations |
| title_sort | perturbation theory of matrix mechanics based on its canonical transformations |
| topic | Representation theory Perturbation theory Kramers’ dispersion formula Matrix mechanics |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722006611 |
| work_keys_str_mv | AT yongyihuang theperturbationtheoryofmatrixmechanicsbasedonitscanonicaltransformations AT yongyihuang perturbationtheoryofmatrixmechanicsbasedonitscanonicaltransformations |