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Some remarks on the determination of quantum states by measurements.

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons15893

Stulpe,  W.
Research Group of Experimental Biophysics, MPI for biophysical chemistry, Max Planck Society;

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603023.pdf
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Zitation

Stulpe, W., & Singer, M. (1990). Some remarks on the determination of quantum states by measurements. Foundations of Physics Letters, 3(2), 153-166. doi: 10.1007/BF00689882.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-0013-0E14-4
Zusammenfassung
The problem of state determination of quantum systems by the probability distributions of some observables is considered. In particular, we review a question already asked by W. Pauli, namely, the determination of pure states of spinless particles by the distributions of position and momentum. In this context we give a new example of two wave functions differing by a piecewise constant phase having the same position and momentum distributions. ThePauli problem is investigated also under incorporation of special types of the Hamiltonian. Moreover, in case of spin-1 systems with three-dimensional Hilbert space, it is shown that the probabilities for the values of six suitably chosen spin components determine their state.