Jordan, Thomas F. ; Pinsky, Mark A. ; Sudarshan, E. C. G. (1962) Dynamical mappings of density operators in quantum mechanics. II. Time dependent mappings Journal of Mathematical Physics, 3 (5). pp. 848-852. ISSN 0022-2488
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Official URL: http://jmp.aip.org/resource/1/jmapaq/v3/i5/p848_s1
Related URL: http://dx.doi.org/10.1063/1.1724298
Abstract
The most general continuous time-dependent evolution of a physical system is represented by a continuous one-parameter semi-group of linear mappings of density operators to density operators. It is shown that if these dynamical mappings form a group they can be represented by a group of unitary operators on the Hilbert space of state vectors. This proof does not assume that the absolute values of inner products of state vectors or "transition probabilities" are preserved but deduces this fact from the requirement that density operators are mapped linearly to density operators. An example is given of a continuous one-parameter semi-group of dynamical mappings which is not a group.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Physics. |
| ID Code: | 51132 |
| Deposited On: | 27 Jul 2011 12:27 |
| Last Modified: | 27 Jul 2011 12:27 |
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