A mathematical description of the Weber nucleus as a classical and quantum mechanical system
- Wilhelm Weber’s electrodynamics is an action-at-a-distance theory which has the property that equal charges inside a critical radius become attractive. Weber’s electrodynamics inside the critical radius can be interpreted as a classical Hamiltonian system whose kinetic energy is, however, expressed with respect to a Lorentzian metric. In this article we study the Schrödinger equation associated with this Hamiltonian system, and relate it to Weyl’s theory of singular Sturm–Liouville problems.
| Author: | Urs FrauenfelderORCiDGND, Joa Weber |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1124299 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/112429 |
| ISSN: | 1664-2368OPAC |
| ISSN: | 1664-235XOPAC |
| Parent Title (English): | Analysis and Mathematical Physics |
| Publisher: | Springer |
| Place of publication: | Berlin |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2024 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2024/04/05 |
| Tag: | Algebra and Number Theory; Analysis; Mathematical Physics |
| Volume: | 14 |
| Issue: | 2 |
| First Page: | 31 |
| DOI: | https://doi.org/10.1007/s13324-024-00891-5 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Analysis und Geometrie | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung |
