References
IfE is an Hilbert space, we denote by (./.) its scalar product and by ‖.‖ the norm derived from it.
These definitions are strictly analogous to that of proper and improper mixtures given byA. Baracca, S. Bergia, R. Bigoni andA. Cecchini:Riv. Nuovo Cimento,4, 169 (1974).
D. Fortunato andF. Selleri: to be published inInter. Journ. Theor. Phys.
We denote by\(\langle \Gamma \rangle _\mathfrak{S} \) the expectation value of the observable Γ on the statistical ensemble\(\mathfrak{S}\)
J. Von Neumann:The Mathematical Foundations of Quantum Mechanics (Princeton, N.J., 1955).
D. Fortunato, A. Garuccio andF. Selleri: to be published onInter. Journ., Theor. Phys.
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Fortunato, D. A property of the projection operator associated to a mixture of the second type. Lett. Nuovo Cimento 15, 289–290 (1976). https://doi.org/10.1007/BF02725163
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DOI: https://doi.org/10.1007/BF02725163