Spectral Zeta Functions

524 views · Published 23 December 2014 · 18:52 · Indexed 20 October 2026

Channel: Wolfram · 2014 · Science & Technology

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Speaker: Paul Abbott

When the eigenvalues of an operator A can be computed and form a discrete set, the spectral zeta function of A reduces to a sum over eigenvalues, when the sum exists. Belloni and Robinett used the “quantum bouncer” to compute quantum sum rules. In this presentation we use Mathematica to compute the spectral zeta function via the Weierstrass product theorem.

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