Old Quantum Mechanics by Bohr and Sommerfeld from a Modern Perspective
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908860757835776 |
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| author | Barley, Kamal K. Ruffing, Andreas Suslov, Sergei K. |
| author_facet | Barley, Kamal K. Ruffing, Andreas Suslov, Sergei K. |
| contents | We review Bohr's atomic model and its extension by Sommerfeld from a mathematical perspective of wave mechanics. The derivation of quantization rules and energy levels is revisited using semiclassical methods. Sommerfeld-type integrals are evaluated by elementary techniques, and connections with the Schrödinger and Dirac equations are established. Historical developments and key transitions from classical to quantum theory are discussed to clarify the structure and significance of the old quantum mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00408 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Old Quantum Mechanics by Bohr and Sommerfeld from a Modern Perspective Barley, Kamal K. Ruffing, Andreas Suslov, Sergei K. Quantum Physics History and Philosophy of Physics We review Bohr's atomic model and its extension by Sommerfeld from a mathematical perspective of wave mechanics. The derivation of quantization rules and energy levels is revisited using semiclassical methods. Sommerfeld-type integrals are evaluated by elementary techniques, and connections with the Schrödinger and Dirac equations are established. Historical developments and key transitions from classical to quantum theory are discussed to clarify the structure and significance of the old quantum mechanics. |
| title | Old Quantum Mechanics by Bohr and Sommerfeld from a Modern Perspective |
| topic | Quantum Physics History and Philosophy of Physics |
| url | https://arxiv.org/abs/2506.00408 |