Gallilei covariant quantum mechanics in electromagnetic fields
A formulation of the quantum mechanics of charged particles in time-dependent electromagnetic fields is presented, in which both the Schroedinger equation and wave equations for the electromagnetic potentials are Galilei covariant, it is shown that the Galilean relativity principle leads to the intr...
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| Format: | Article |
| Language: | English |
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Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171285000643 |
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| _version_ | 1849683262872485888 |
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| author | H. E. Wilhelm |
| author_facet | H. E. Wilhelm |
| author_sort | H. E. Wilhelm |
| collection | DOAJ |
| description | A formulation of the quantum mechanics of charged particles in time-dependent electromagnetic fields is presented, in which both the Schroedinger equation and wave equations for the electromagnetic potentials are Galilei covariant, it is shown that the Galilean relativity principle leads to the introduction of the electromagnetic substratum in which the matter and electromagnetic waves propagate. The electromagnetic substratum effects are quantitatively significant for quantum mechanics in reference frames, in which the substratum velocity w is in magnitude comparable with the velocity of light c. The electromagnetic substratum velocity w occurs explicitly in the wave equations for the electromagnetic potentials but not in the Schroedinger equation. |
| format | Article |
| id | doaj-art-dc83a56c848046beb79f89a763dd47f4 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-dc83a56c848046beb79f89a763dd47f42025-08-20T03:23:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018358959710.1155/S0161171285000643Gallilei covariant quantum mechanics in electromagnetic fieldsH. E. Wilhelm0Michelson Laboratory, Physics Division, Naval Weapons Center, China Lake 93555, California, USAA formulation of the quantum mechanics of charged particles in time-dependent electromagnetic fields is presented, in which both the Schroedinger equation and wave equations for the electromagnetic potentials are Galilei covariant, it is shown that the Galilean relativity principle leads to the introduction of the electromagnetic substratum in which the matter and electromagnetic waves propagate. The electromagnetic substratum effects are quantitatively significant for quantum mechanics in reference frames, in which the substratum velocity w is in magnitude comparable with the velocity of light c. The electromagnetic substratum velocity w occurs explicitly in the wave equations for the electromagnetic potentials but not in the Schroedinger equation.http://dx.doi.org/10.1155/S0161171285000643quantum mechanicselectromagnetic fields and substratumGalilei covariance. |
| spellingShingle | H. E. Wilhelm Gallilei covariant quantum mechanics in electromagnetic fields International Journal of Mathematics and Mathematical Sciences quantum mechanics electromagnetic fields and substratum Galilei covariance. |
| title | Gallilei covariant quantum mechanics in electromagnetic fields |
| title_full | Gallilei covariant quantum mechanics in electromagnetic fields |
| title_fullStr | Gallilei covariant quantum mechanics in electromagnetic fields |
| title_full_unstemmed | Gallilei covariant quantum mechanics in electromagnetic fields |
| title_short | Gallilei covariant quantum mechanics in electromagnetic fields |
| title_sort | gallilei covariant quantum mechanics in electromagnetic fields |
| topic | quantum mechanics electromagnetic fields and substratum Galilei covariance. |
| url | http://dx.doi.org/10.1155/S0161171285000643 |
| work_keys_str_mv | AT hewilhelm gallileicovariantquantummechanicsinelectromagneticfields |