The Poisson Bracket and Symplectic Geometry

Peter Woit ()
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Peter Woit: Columbia University, Department of Mathematics

Chapter Chapter 14 in Quantum Theory, Groups and Representations, 2017, pp 189-198 from Springer

Abstract: Abstract We have seen that the quantum theory of a free particle corresponds to the construction of a representation of the Heisenberg Lie algebra in terms of operators Q and P, together with a choice of Hamiltonian $$H=\frac{1}{2m}P^2$$ .

Keywords: Poisson Bracket; Symplectic Geometry; First-order Linear Differential Operator; Additional Basis Elements; Fundamental Mathematical Structure (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-64612-1_14

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DOI: 10.1007/978-3-319-64612-1_14

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