112 citations
13 papers
Quantum Mechanics of Successive Measurements with Arbitrary Meter Coupling
Lars M. Johansen, Pier A. Mello
We study successive measurements of two observables using von Neumann's measurement model. The two-pointer correlation for arbitrary coupling strength allows retrieving the initial…
Equivariant Lie-Rinehart cohomology
Eivind Eriksen, Trond S. Gustavsen
In this paper, we study Lie-Rinehart cohomology for quotients of singularities by finite groups, and interpret these cohomology groups in terms of integrable connection on modules.
Lie-Rinehart cohomology and integrable connections on modules of rank one
Eivind Eriksen, Trond Stølen Gustavsen
Let be an algebraically closed field of characteristic 0, let be a commutative -algebra, and let be a torsion free -module of rank one with a connection .…
Quantum theory of successive projective measurements
Lars M. Johansen
We show that a quantum state may be represented as the sum of a joint probability and a complex quantum modification term. The joint probability and the modification term can both…
Reconstructing weak values without weak measurements
Lars M. Johansen
I propose a scheme for reconstructing the weak value of an observable without the need for weak measurements. The post-selection in weak measurements is replaced by an initial proj…
Computing obstructions for existence of connections on modules
Eivind Eriksen, Trond S. Gustavsen
We consider the notion of a connection on a module over a commutative ring, and recall the obstruction calculus for such connections. The obstruction calculus is defined using Hoch…