The
Centre for Mathematical
Physics
SEMINAR
Speaker: Prof. Satoru Odake,
Title: Unified Theory of Annihilation-Creation Operators for
Solvable (`Discrete') Quantum
Mechanics
11am Wednesday 30th
August, 2006
Priestley
Blding, room 641
Abstract:
The annihilation-creation operators a(±)
are defined as the positive/negative frequency parts of the exact Heisenberg
operator solution for the `sinusoidal coordinate'. Thus a(±)
are hermitian conjugate to each other and the
relative weights of various terms in them are solely determined by the energy
spectrum. This unified method applies to most of the solvable quantum mechanics
of single degree of freedom including those belonging to the `discrete' quantum
mechanics.
This is a joint work with Ryu Sasaki (Yukawa
Institute for Theoretical Physics).
All interested are invited
to attend.
Enquiries to Katrina Hibberd email: keh@maths.uq.edu.au