Elements of a new approach to time in Quantum Mechanics

TL;DR

This paper proposes a novel formalism in quantum mechanics where time is treated as an operator, leading to a new perspective on temporal probabilities and measurement outcomes.

Contribution

It introduces a formalism that redefines time as an operator in quantum theory, altering how expectation values and states are described.

Findings

Time as an operator allows for a temporal probability distribution.

The approach provides a new framework for understanding measurement in quantum mechanics.

It offers a re-evaluation of the concept of time in non-relativistic quantum theory.

Abstract

In this work we present a re-evaluation of the concept of time in non-relativistic quantum theory. We suggest a formalism in which time is changed into the status of an operator, and where expectation values of observables and the state of a quantum system are reworked. This approach leads us to an additional concept, given by a temporal probability distribution associated with the actual measurement of an observable.