Vanishing integral relations and expectation values for Bloch functions in finite domains |
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Authors: | C Pacher M Peev |
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Institution: | 1.Austrian Research Centers GmbH - ARC, Smart Systems Division,Wien,Austria |
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Abstract: | Integral identities for particular Bloch functions in finite periodic systems are derived. All following statements are proven for a finite domain consisting of an integer number of
unit cells. It is shown that matrix elements of particular Bloch functions with respect to periodic differential operators
vanish identically.
The real valuedness, the time-independence and a summation property of the expectation values of periodic differential
operators applied to superpositions of specific Bloch functions are derived. |
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Keywords: | 3 65 Fd Algebraic methods 03 65 Nk Scattering theory 3 65 Ge Solutions of wave equations: bound states 73 21 Cd Superlattices |
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