Timeline for Time-Energy Uncertainty Relation in relativistic Quantum Mechanics
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 14, 2020 at 20:24 | vote | accept | Mirco A. Mannucci | ||
| May 2, 2016 at 12:54 | answer | added | Carlo Beenakker | timeline score: 3 | |
| May 2, 2016 at 9:25 | comment | added | Mirco A. Mannucci | Thanks Chris! Very very valuable refs.....Yes Igor, good points. | |
| May 2, 2016 at 6:34 | comment | added | Chris Gerig | A dynamical time operator in Dirac’s relativistic quantum mechanics arxiv.org/pdf/0908.2789v3.pdf and Time in Quantum Mechanics and Quantum Field Theory arxiv.org/pdf/quant-ph/0211047.pdf (both describe the operator for relativisitic QM). | |
| May 2, 2016 at 2:40 | comment | added | Igor Khavkine | Thinking of the Dirac equation in relativistic QM as a complete analog of the Schroedinger equation in non-relativistic QM is overly simplistic. In any physically reasonable way, the Hamiltonian of a single Dirac particle or of the Dirac quantum field is positive definite. This means that you would encounter the same issues with the time operator as in non-relativistic QM. For what it's worth, the tachionic ($m^2 < 0$) Klein-Gordon field does have energy unbounded from both above and below. | |
| May 1, 2016 at 21:21 | comment | added | Mirco A. Mannucci | ok thanks Qiaochu. Let me keep it here a little longer, one never knows. But I think you are probably right, this is a physics question (although there is an operator algebra side of it in my addendum: even if the answer turns out to be physically nil, would be nice to know if there is a math toy model along these lines....) | |
| May 1, 2016 at 21:12 | comment | added | Qiaochu Yuan | Probably going to get better answers on physics.stackexchange.com. | |
| May 1, 2016 at 20:35 | history | asked | Mirco A. Mannucci | CC BY-SA 3.0 |