The “transition probability” in the state space of a ∗-algebra

Uhlmann, A.

doi:10.1016/0034-4877(76)90060-4

The “transition probability” in the state space of a ∗-algebra

A. Uhlmann
(
- Dubna, JINR
)

Apr, 1976

7 pages

Published in:

Rept.Math.Phys. 9 (1976) 2, 273-279

Published: Apr, 1976

DOI:

10.1016/0034-4877(76)90060-4

View in:

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Abstract: (Elsevier)

Let ω,ϱ be two states of a ∗-algebra and let us consider representations of this algebra R for which ω and ϱ are realized as vector states by vectors x and y . The transition probability P ( ω , ϱ ) is the spectrum of all the numbers |( x , y )| 2 taken over all such realizations. We derive properties of this straightforward generalization of the quantum mechanical transition probability and give, in some important cases, an explicit expression for this quantity.

References(6)

Figures(0)

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A. Uhlmann