The Quantum Spectral Method: From Atomic Orbitals to Classical Self-Force
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866910980929224704 |
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| author | Khalaf, Majed Telem, Ofri |
| author_facet | Khalaf, Majed Telem, Ofri |
| contents | Can classical systems be described analytically at all orders in their interaction strength? For periodic and approximately periodic systems, the answer is yes, as we show in this work. Our analytical approach, which we call the \textit{Quantum Spectral Method}, is based on a novel application of Bohr's correspondence principle, obtaining non-perturbative classical dynamics as the classical limit of \textit{quantum matrix elements}. A major application of our method is the calculation of self-force as the classical limit of atomic radiative transitions. We demonstrate this by calculating an adiabatic electromagnetic inspiral, along with its associated radiation, at all orders in the multipole expansion. Finally, we propose a future application of the Quantum Spectral Method to compute scalar and gravitational self-force in Schwarzschild, analytically. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2310_03798 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Quantum Spectral Method: From Atomic Orbitals to Classical Self-Force Khalaf, Majed Telem, Ofri General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory Can classical systems be described analytically at all orders in their interaction strength? For periodic and approximately periodic systems, the answer is yes, as we show in this work. Our analytical approach, which we call the \textit{Quantum Spectral Method}, is based on a novel application of Bohr's correspondence principle, obtaining non-perturbative classical dynamics as the classical limit of \textit{quantum matrix elements}. A major application of our method is the calculation of self-force as the classical limit of atomic radiative transitions. We demonstrate this by calculating an adiabatic electromagnetic inspiral, along with its associated radiation, at all orders in the multipole expansion. Finally, we propose a future application of the Quantum Spectral Method to compute scalar and gravitational self-force in Schwarzschild, analytically. |
| title | The Quantum Spectral Method: From Atomic Orbitals to Classical Self-Force |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.03798 |