Well-Defined Time Operators in Quantum Mechanics

Total time derivatives of operators in elementary quantum mechanics

Quantum Mechanics with Difference Operators

A formulation of quantum mechanics with additive and multiplicative (q-) difference operators instead of differential operators is studied from first principles. Borel-quantisation on smooth configuration spaces is used as guiding quantisation method. After a short discussion this method is translated step-by-step to a framework based on difference operators. To restrict the resulting plethora ...

Tensor operators in noncommutative quantum mechanics.

Some consequences of promoting the object of noncommutativity theta(ij) to an operator in Hilbert space are explored. Its canonical conjugate momentum is also introduced. Consequently, a consistent algebra involving the enlarged set of canonical operators is obtained, which permits us to construct theories that are dynamically invariant under the action of the rotation group. In this framework ...

Reconstruction of Quantum Mechanics with Information Operators

We reconstruct quantum mechanics by introducing ”information operators” and excluding the concept of wave functions. Multiple information operators simultaneously describe a single system and continuously develop in time even in the process of a measurement. We also introduce the concept of condensation for a system with many degrees of freedom in a rather general meaning. In terms of the multi...

Arrival Time in Quantum Mechanics