Barandes, Jacob A. (2025) The History of Hilbert-Space Formulations of Classical Physics. [Preprint]
![[img]](https://philsci-archive.pitt.edu/style/images/fileicons/text.png) |
Text (Preprint)
Koopman-von_Neumann_History07.pdf - Draft Version Download (513kB) |
Abstract
Hilbert-space techniques are widely used not only for quantum theory, but also for classical physics. Two important examples are the Koopman-von Neumann (KvN) formulation and the method of “classical” wave functions. As this paper explains, these two approaches are conceptually distinct. In particular, the method of classical wave functions was not due to Bernard Koopman and John von Neumann, but was developed independently by a number of later researchers, perhaps first by Mario Schönberg, with key contributions from Angelo Loinger, Giacomo Della Riccia, Norbert Wiener, and E. C. George Sudarshan. The primary goals of this paper are to explain these two approaches, describe the relevant history in detail, and give credit where credit is due.
| Export/Citation: | EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL |
| Social Networking: |
| Item Type: | Preprint | ||||||
|---|---|---|---|---|---|---|---|
| Creators: |
|
||||||
| Keywords: | history of physics; Hilbert-space methods; Koopman-von Neumann formulation; classical wave functions | ||||||
| Subjects: | Specific Sciences > Physics > Classical Physics General Issues > History of Philosophy of Science Specific Sciences > Mathematics Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics |
||||||
| Depositing User: | Dr. Jacob Barandes | ||||||
| Date Deposited: | 30 Jul 2025 12:51 | ||||||
| Last Modified: | 30 Jul 2025 12:51 | ||||||
| Item ID: | 26043 | ||||||
| Subjects: | Specific Sciences > Physics > Classical Physics General Issues > History of Philosophy of Science Specific Sciences > Mathematics Specific Sciences > Physics Specific Sciences > Physics > Quantum Mechanics |
||||||
| Date: | 28 July 2025 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/26043 |
Monthly Views for the past 3 years
Monthly Downloads for the past 3 years
Plum Analytics
Actions (login required)
 |
View Item |
![[feed]](http://philsci-archive.pitt.edu/style/images/feed-icon-32x32.png){kind=icon}