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An Algebraic Geometric Approach to Separation of Variables (Paperback, 1st ed. 2015)
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An Algebraic Geometric Approach to Separation of Variables (Paperback, 1st ed. 2015)
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Konrad Schoebel aims to lay the foundations for a consequent
algebraic geometric treatment of variable Separation, which is one
of the oldest and most powerful methods to construct exact
solutions for the fundamental equations in classical and quantum
physics. The present work reveals a surprising algebraic geometric
structure behind the famous list of separation coordinates,
bringing together a great range of mathematics and mathematical
physics, from the late 19th century theory of separation of
variables to modern moduli space theory, Stasheff polytopes and
operads. "I am particularly impressed by his mastery of a variety
of techniques and his ability to show clearly how they interact to
produce his results." (Jim Stasheff)
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