Geometry of Localized Effective Theories, Exact Semi-classical Approximation and the Algebraic Index
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DOI: 10.1007/s00220-021-03944-z
Abstract: In this paper we propose a general framework to study the quantum geometry of $$\sigma $$ -models when they are effectively localized to small quantum fluctuations around constant maps. Such effective theories have surprising exact… read more here.
Keywords: semi classical; exact semi; physics; geometry ... See more keywords
Conservative Difference Scheme for Maxwell Equations Describing a Nonstationary Nonlinear Response of Matter in a Semi-Classical Approximation
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DOI: 10.1007/s10598-017-9355-4
Abstract: A conservative difference scheme is constructed for the system of equations that describe, in the semi-classical approximation, resonance and nonresonance interaction of an electromagnetic pulse with matter. The conservativity of the scheme is proved. A… read more here.
Keywords: conservative difference; matter; scheme; difference scheme ... See more keywords