Renyi entropy of the infinite well potential in momentum space and Dirichlet-like trigonometric functionals
Alexander I. Aptekarev, Jesus S. Dehesa, Pablo S\'anchez-Moreno, D.N., Tulyakov
TL;DR
This paper calculates the Rènyi entropies and momentum moments for a particle in an infinite well potential using explicit Dirichlet-like integrals, providing insights into quantum uncertainty and spreading lengths.
Contribution
It introduces explicit calculations of Rènyi entropies and momentum moments for the infinite well potential using novel Dirichlet-like integrals, advancing quantum information measures.
Findings
Explicit formulas for Rènyi entropies in momentum space
Quantitative measures of quantum uncertainty and spreading lengths
Enhanced understanding of quantum information in potential wells
Abstract
The momentum entropic moments and R\'enyi entropies of a one-dimensional particle in an infinite well potential are found by means of explicit calculations of some Dirichlet-like trigonometric integrals. The associated spreading lengths and quantum uncertainty-like sums are also provided.
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