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6 papers · 1 filter
Lüders Theorem for Unsharp Quantum Measurements
Paul Busch, Javed Singh
A theorem of Lüders states that an ideal measurement of a sharp discrete observable does not alter the statistics of another sharp observable if, and only if, the two observables c…
Unsharp Localization and Causality in Relativistic Quantum Theory
Paul Busch
The conflict between relativistic causality and localizability is analyzed in the light of the existence of unsharp localization observables. A theorem due to S. Schlieder is gener…
Stochastic Isometries in Quantum Mechanics
Paul Busch
The class of stochastic maps, that is, linear, trace-preserving, positive maps between the self-adjoint trace class operators of complex separable Hilbert spaces plays an important…
Effects as functions on projective Hilbert space
P. Busch, S. P. Gudder
The set of effect operators in a complex Hilbert space can be injectively embedded into the set of functions from the set of one-dimensional projections to the real interval [0,1].…
Geometric properties of acoustic waves generated by a point source in solar-like interior: effects of acoustic cut-off frequency
S. Zharkov
Acoustic waves generated by a point source in stratified plasma are considered in this paper. Analytical parametric solution for monochromatic source is derived for plane-parallel…
Reinterpreting Boltzmann's H-theorem in the light of Information Theory
David Sands, Jeremy Dunning-Davies
Prompted by the realisation that the statistical entropy of an ideal gas in the micro-canonical ensemble should not fluctuate or change over time, the meaning of the H-theorem is r…