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Discrete Density of States
Istanbul Technical University, Energy Institute.
Istanbul Technical University, Energy Institute.ORCID iD: 0000-0002-7431-5115
2016 (English)In: Physics Letters A, ISSN 0375-9601, E-ISSN 1873-2429, Vol. 380, p. 1236-1240Article in journal (Refereed) Published
Abstract [en]

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 flattenedout 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.

Place, publisher, year, edition, pages
2016. Vol. 380, p. 1236-1240
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-380274OAI: oai:DiVA.org:uu-380274DiVA, id: diva2:1299043
Available from: 2019-03-26 Created: 2019-03-26 Last updated: 2019-03-27

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