Applications of density matrix in the fractional quantum mechanics

Abstract

The many-body space fractional quantum system is studied using the density matrix method. We give the new results of the Thomas-Fermi model, and obtain the quantum pressure of the free electron gas. We also show the validity of the Hohenberg-Kohn theory in the space fractional quantum mechanics and generalize the density functional theory to the fractional quantum mechanics.

arXiv comment1 figure

References in corpus (6)

• Fractional Quantum Mechanics and Levy Path Integrals
• Fractional Schrodinger equation
• Fractional Quantum Mechanics
• Time fractional Schrodinger equation
• Quantum Lévy Processes and Fractional Kinetics
• Fractional Heisenberg Equation

Cited by in corpus (1)

• Levy path integral approach to the solution of the fractional Schrödinger equation with infinite square well