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    Exciton operators : commutation relations and dynamics

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    NelsonD1997m-1b.pdf (1.654Mb)

    Date

    1997

    Author

    Nelson, Delene J.

    Degree

    Master of Science

    Discipline

    Physics

    Subject

    Exciton theory

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    Abstract

    The electron-hole pair operator commutation relations for a semiconductor are explicitly derived showing that the pairs are quasi-bosons with statistics intermediate between bosons and fermions. These pair operators are transformed into exciton operators, that incorporate the intra-pair Coulomb interaction, and it is found that the commutation relations remain quasi-bosonic. The exciton dynamics written in terms of the exciton operators are derived in the Heisenberg picture and compared with the traditionally used semiconductor Bloch equations.

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    http://knowledgecommons.lakeheadu.ca/handle/2453/2524

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