On the Dependence of Quantum States on the Value of Planck's Constant

TL;DR

This paper explores how quantum states depend on Planck's constant, examining theoretical sensitivities and proposing experimental methods to detect potential fluctuations of h.

Contribution

It provides a theoretical analysis of quantum state sensitivity to Planck's constant and discusses experimental approaches to detect fluctuations.

Findings

Quantum states are sensitive to changes in Planck's constant

Positivity issues for self-adjoint trace class operators are relevant

Experimental procedures for detecting fluctuations are discussed

Abstract

We begin by discussing known theoretical results about the sensitivity of quantum states to changes in the value of Planck's constant h. These questions are related to positivity issues for self-adjoint trace class operators, which are not yet fully understood. We thereafter briefly discuss the implementation of experimental procedures to detect possible fluctuations of h.