DYNAMICAL MAPPINGS OF DENSITY OPERATORS IN QUANTUM MECHANICS II: TIME DEPENDENT MAPPINGS
Technical Report
·
OSTI ID:4840663
The most general continuous time dependent evolution of a physical system is represented by a continuous oneparameter 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. (auth)
- Research Organization:
- Rochester, N.Y. Univ.
- NSA Number:
- NSA-16-018595
- OSTI ID:
- 4840663
- Report Number(s):
- NYO-10129
- Country of Publication:
- United States
- Language:
- English
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