Shifting Operators in Geometric Quantization
The original Bohr-Sommerfeld theory of quantization did not give operators of transitions between quantum quantum states. This paper derives these operators, using the first principles of geometric quantization.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-10-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/9/4/125 |
| _version_ | 1827703424370606080 |
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| author | Richard Cushman Jędrzej Śniatycki |
| author_facet | Richard Cushman Jędrzej Śniatycki |
| author_sort | Richard Cushman |
| collection | DOAJ |
| description | The original Bohr-Sommerfeld theory of quantization did not give operators of transitions between quantum quantum states. This paper derives these operators, using the first principles of geometric quantization. |
| first_indexed | 2024-03-10T15:17:04Z |
| format | Article |
| id | doaj.art-9604c91e04c2467187cc8eb1e6e39821 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T15:17:04Z |
| publishDate | 2020-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-9604c91e04c2467187cc8eb1e6e398212023-11-20T18:49:35ZengMDPI AGAxioms2075-16802020-10-019412510.3390/axioms9040125Shifting Operators in Geometric QuantizationRichard Cushman0Jędrzej Śniatycki1Department of Mathematics and Statistics, University of Calgary, Calgary, AB T2N 1N4, CanadaDepartment of Mathematics and Statistics, University of Calgary, Calgary, AB T2N 1N4, CanadaThe original Bohr-Sommerfeld theory of quantization did not give operators of transitions between quantum quantum states. This paper derives these operators, using the first principles of geometric quantization.https://www.mdpi.com/2075-1680/9/4/125Bohr-Sommerfeldgeometric quantizationshifting operator |
| spellingShingle | Richard Cushman Jędrzej Śniatycki Shifting Operators in Geometric Quantization Axioms Bohr-Sommerfeld geometric quantization shifting operator |
| title | Shifting Operators in Geometric Quantization |
| title_full | Shifting Operators in Geometric Quantization |
| title_fullStr | Shifting Operators in Geometric Quantization |
| title_full_unstemmed | Shifting Operators in Geometric Quantization |
| title_short | Shifting Operators in Geometric Quantization |
| title_sort | shifting operators in geometric quantization |
| topic | Bohr-Sommerfeld geometric quantization shifting operator |
| url | https://www.mdpi.com/2075-1680/9/4/125 |
| work_keys_str_mv | AT richardcushman shiftingoperatorsingeometricquantization AT jedrzejsniatycki shiftingoperatorsingeometricquantization |