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Symplectic techniques in geometric quantum mechanics and nonlinear quantum mechanics
Published 2013Subjects: “…Symplectic geometry…”
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The symplectic geometrical formulation of quantum hydrodynamics
Published 2022“…Quantum hydrodynamics described by Madelung equations is analyzed in the framework of symplectic geometry i.e. in covariant phase space approach to geometric field theory. …”
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Zoology of atlas-groups: dessins d’enfants, finite geometries and quantum commutation
Published 2017“…In our paper, tripods P − D − G of rank larger than two,corresponding to simple groups, are organized into classes, e.g. symplectic, unitary, sporadic, etc (as in the Atlas). …”
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EKSTRAKSI RUANG FASE KLASIK DARI GRUP LIE SIMETRI
Published 2012“…We have done research in the object of geometry symplectic. That is finding a classical phase space of symmetry Lie group. …”
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Classical aspect of uncertainty principle for spin angular momentum in geometric quantum mechanics
Published 2021“…Within this framework the states are represented by points of a symplectic manifold with a compatible Riemannian metric, the observables are real valued functions on the manifold, and the quantum evolution is governed by a symplectic flow that is generated by a Hamiltonian function. …”
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Canonical group quantisation on one-dimensional complex projective space
Published 2015“…These spaces have natural symplectic structure that allows one to use them for quantisation. …”
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Thesis