Renyi entropy of the infinite well potential in momentum space and Dirichlet-like trigonometric functionals

Abstract

The momentum entropic moments and Rényi 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.

14 pages

References in corpus (2)

• Formulation of the uncertainty relations in terms of the Renyi entropies
• Some extensions of the uncertainty principle

Cited by in corpus (4)

• Rényi and Tsallis entropies: three analytic examples
• Rényi and Tsallis entropies of the Aharonov-Bohm ring in uniform magnetic fields
• Rényi entropies for multidimensional hydrogenic systems in position and momentum spaces
• Rényi and Tsallis entropies of the Dirichlet and Neumann one-dimensional quantum wells