Mathematics Behind the Heisenberg Uncertainty Principle

The Improvement of the Heisenberg Uncertainty Principle

An Infinite - Dimensional Heisenberg Uncertainty Principle

An analogue of the classical Heisenberg inequality is given for an infinite-dimensional space. The proof relies on a commutation relationship and integration by parts formula for Gaussian measure. We also discuss when the equality holds.

Position measuring interactions and the Heisenberg uncertainty principle

Measurements disturb microscopic objects inevitably. The problem still remains open as to how measurements disturb their objects. It is frequently claimed that if one measures position with noise , the momentum is disturbed at least h̄/2 [1, p. 230]. This claim is often called the Heisenberg uncertainty principle. The Heisenberg principle has been demonstrated typically by a thought experiment u...

Heisenberg Uncertainty Principle for the q-Bessel Fourier transform

In this paper we uses an I.I. Hirschman-W. Beckner entropy argument to give an uncertainty inequality for the q-Bessel Fourier transform: Fq,vf(x) = cq,v ∫ ∞ 0 f(t)jv(xt, q 2)t2v+1dqt, where jv(x, q) is the normalized Hahn-Exton q-Bessel function.

Reducing Uncertainty: Implementation of Heisenberg Principle to Measure Company Performance

The paper addresses the problem of uncertainty reduction in estimation of future company performance, which is a result of wide range of enterprise’s intangible assets probable efficiency. To reduce this problem, the paper suggests to use quantum economy principles, i.e. implementation of Heisenberg principle to measure efficiency and potential of intangible assets of the company. It is propose...