Discrete Density of States

Abstract

By considering the quantum-mechanically minimum allowable energy interval, we exactly count number of states (NOS) and introduce discrete density of states (DOS) concept for a particle in a box for various dimensions. Expressions for bounded and unbounded continua are analytically recovered from discrete ones. Even though substantial fluctuations prevail in discrete DOS, they're almost completely flatten out after summation or integration operation. It's seen that relative errors of analytical expressions of bounded/unbounded continua rapidly decrease for high NOS values (weak confinement or high energy conditions), while the proposed analytical expressions based on Weyl's conjecture always preserve their lower error characteristic.

7 pages, 3 figures, Phys. Lett. A (2016)

References in corpus (3)

• Discrete nature of thermodynamics in confined ideal Fermi gases
• Perturbation method to calculate the density of states
• Density of states in d-wave superconductors of finite size

Cited by in corpus (8)

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• Spectral properties of size-invariant shape transformation
• Nonreciprocal ballistic transport in multi-layer Weyl semimetal films with surface engineering
• Quantum Shape Effects