NUI
MAYNOOTH DEPARTMENT OF
MATHEMATICAL PHYSICS SEMINAR
Tuesday 12th September 2006 at 2 pm
Conference Room (1.10), Department of
Mathematical Physics,
Science Building,
NUIM North Campus
Professor Jason Twamley
Physics Department
Macquarie University
Sydney, Australia
Simulating higher
transcendental
mathematical functions with quantum mechanics
Abstract:
In quantum mechanics one can, via the Fourier transform, simulate the
so-called, "lower" transcendental functions, sine and cosine.
We show how to derive a new type of unitary transform, like the Fourier
transform, in quantum mechanics which yields quantum wavefunctions
whose amplitude matches many types of "higher transcendental
functions". In particular we give details on how to engineer quantum
wavefunctions whose amplitude approximates to the Riemann Zeta
function on the critical line s=1/2+it .
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All are welcome. Tea/coffee and biscuits to follow. Directions
to
the Depatment can be found at http://www.thphys.nuim.ie/images/map.html