Asymptotic formula for the quantum entropy of position in energy eigenstates

DOI10.1016/S0375-9601(96)00911-5zbMath0962.82502MaRDI QIDQ1968141

Jorge Sánchez-Ruiz

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05)

Related Items (16)

Some statistical properties for interacting between a two two-level atoms and the electromagnetic fields in present of converter terms ⋮ Information-theoretic measures for a position-dependent mass system in an infinite potential well ⋮ Quantum interaction of SU(1,1) Lie group with entangled a two 2-level atoms ⋮ Asymptotics of information entropies of some Toda-like potentials ⋮ Some features of the nonlocal correlation and geometric phase of the quantum system in two-mode nondegenerate entangled states ⋮ Comparative analysis of electric field influence on the quantum wells with different boundary conditions. ⋮ Localization-delocalization phenomena in a cyclic box ⋮ Asymptotic relation for the quantum entropy of momentum in energy eigenstates ⋮ Logarithmic potential of Hermite polynomials and information entropies of the harmonic oscillator eigenstates ⋮ Position and momentum information-theoretic measures of a \(D\)-dimensional particle-in-a-box ⋮ Quantum information entropies and orthogonal polynomials ⋮ Rényi entropy of the infinite well potential in momentum space and Dirichlet-like trigonometric functionals ⋮ Differential entropy and dynamics of uncertainty ⋮ Entropy squeezing, nonlocal correlation and purification properties of two-trap ion interaction with laser field in the presence of Stark shift effect ⋮ LOG-TANGENT INTEGRALS AND THE RIEMANN ZETA FUNCTION ⋮ SHORT-WAVE ASYMPTOTICS OF THE INFORMATION ENTROPY OF A CIRCULAR MEMBRANE

Cites Work

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• The entropy of position and the spreading of wave packets
• Inequalities in Fourier analysis
• Quantum and classical probability distributions for position and momentum
• Spatial entropy of central potentials and strong asymptotics of orthogonal polynomials
• Entropic uncertainty relations for a quantum oscillator
• Entropy of orthogonal polynomials with Freud weights and information entropies of the harmonic oscillator potential

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