Eugene Lerman Books

Symplectic geometry of integrable Hamiltonian systems
Symplectic geometry of integrable Hamiltonian systems

By Michele Audin, Eugene Lerman, Ana Cannas Da Silva

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Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. The quasi-periodicity of the solutions...

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Symplectic Fibrations and Multiplicity Diagrams
Symplectic Fibrations and Multiplicity Diagrams

By Victor Guillemin, Eugene Lerman, Shlomo Sternberg

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Multiplicity diagrams can be viewed as schemes for describing the phenomenon of "symmetry breaking" in quantum physics: Suppose the state space of a quantum mechanical system is a Hilbert space V,...

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