Quantum Mechanical Probabilities on a General SpacetimeSurface. II Nontrivial Example of NonInterfering Alternatives in Quantum Mechanics
Abstract
A theoretical attempt is made to find a nontrivial example of a set of noninterfering (decohering) alternatives which are not restrictecd to an instant of time and for which quantum mechanical probabilities can be defined. Confining ourselves to nonrelativistic quantum mechanics for a particle, we find an example of such a set. The set consists of two alternatives which formally correspond to two outcomes of a `YesNo' experiment. `Yes' is the occurrence that a particle is found on a given domain on a simple hypersurface in Newtonian spacetime, and `No' is the complement to `Yes'. in this example, absence of interference between the two alternatives is a consequence of a special choice of the symmetry of an initial amplitude. It turns out that the probabilities are 1 for `No' and 0 for `Yes'.
 Publication:

Progress of Theoretical Physics
 Pub Date:
 September 1991
 DOI:
 10.1143/ptp/86.3.599
 Bibcode:
 1991PThPh..86..599Y