| Zugriffsnummer | 40195 |
| Dokumenttyp | Zeitschriftenartikel |
| Peer Review | mit Peer Review |
| Sprache | Englisch |
| Titel | Another look through Heisenberg's microscope: From the uncertainty relation to the Schrödinger equation |
| Autor(in); Institution |
Boughn, Stephen; Princeton University, Department of Physics, Princeton, USA; Haverford College, Departments of Physics and Astronomy, Haverford, USA
Reginatto, Marcel; 6.4, Neutronenstrahlung, PTB-Braunschweig
|
| Quelle/Jahr | European Journal of Physics: 39 (2018), 3, 1 - 17 |
| Artikelnummer | 035402 |
| ISSN | 0143-0807 (PRINT) ; 1361-6404 (ONLINE) |
| DOI | |
| Verlag | Bristol: IOP Publ. |
| Freie Schlagworte | uncertainty principle ; Schrödinger equation ; foundations of quantum mechanics ; Heisenberg's microscope |
| Zusammenfassung | Heisenberg introduced his famous uncertainty relations in a seminal 1927 paper entitled The Physical Content of Quantum Kinematics and Mechanics. He motivated his arguments with a gedanken experiment, a gamma ray microscope to measure the position of a particle. A primary result was that, due to the quantum nature of light, there is an inherent uncertainty in the determinations of the particle's position and momentum dictated by an indeterminacy relation, δqδp˜ h. Heisenberg offered this demonstration as 'a direct physical interpretation of the [quantum mechanical] equation pq - qp = -ιħ' but considered the indeterminacy relation to be much more than this. He also argued that it implies limitations on the very meanings of position and momentum and emphasised that these limitations are the source of the statistical character of quantum mechanics. In addition, Heisenberg hoped but was unable to demonstrate that the laws of quantum mechanics could be derived directly from the uncertainty relation. In this paper, we revisit Heisenberg's microscope and argue that the Schrödinger equation for a free particle does indeed follow from the indeterminacy relation together with reasonable statistical assumptions. |
| Themenbereich der Metrologie | Ionisierende Strahlung |