Some intricacies of the momentum operator in quantum mechanics
Fuente:
Redalyc
Saved in:
| Main Author: | |
|---|---|
| Format: | Artículo científico |
| Language: | en |
| Published: |
Sociedad Mexicana de Física A.C.
2008
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1876426221615579136 |
|---|---|
| author | Utpal Roy |
| author_facet | Utpal Roy |
| contents | Some intricacies of the momentum operator in quantum mechanics Utpal Roy Suranjana Ghosh Kaushik Bhattacharya Física, Astronomía y Matemáticas Momentum operator quantum mechanics In quantum mechanics textbooks, the momentum operator is defined in Cartesian coordinates and the form of the momentum operator in spherical polar coordinates is rarely discussed. Consequently one always generalizes the Cartesian prescription to other coordinates and falls into a trap. In this work, we introduce the difficulties one faces when the question of the momentum operator in general curvilinear coordinates arises. We have tried to elucidate the points related to the definition of the momentum operator, taking spherical polar coordinates as our specimen coordinate system and proposing an elementary method in which we can ascertain the form of the momentum operator in general coordinate systems. 2008 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57028302014 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.54 |
| format | Artículo científico |
| id | redalyc_57028302014 |
| institution | Redalyc |
| language | en |
| publishDate | 2008 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Some intricacies of the momentum operator in quantum mechanics Utpal Roy Física, Astronomía y Matemáticas Momentum operator quantum mechanics Some intricacies of the momentum operator in quantum mechanics Utpal Roy Suranjana Ghosh Kaushik Bhattacharya Física, Astronomía y Matemáticas Momentum operator quantum mechanics In quantum mechanics textbooks, the momentum operator is defined in Cartesian coordinates and the form of the momentum operator in spherical polar coordinates is rarely discussed. Consequently one always generalizes the Cartesian prescription to other coordinates and falls into a trap. In this work, we introduce the difficulties one faces when the question of the momentum operator in general curvilinear coordinates arises. We have tried to elucidate the points related to the definition of the momentum operator, taking spherical polar coordinates as our specimen coordinate system and proposing an elementary method in which we can ascertain the form of the momentum operator in general coordinate systems. 2008 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57028302014 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.54 |
| title | Some intricacies of the momentum operator in quantum mechanics |
| topic | Física, Astronomía y Matemáticas Momentum operator quantum mechanics |
| url | https://www.redalyc.org/articulo.oa?id=57028302014 |