Phonons are cast as a first-order Lagrangian field theory on an associated torus bundle with a flat connection, where the covariant differential of the translational section locally recovers the displacement gradient and yields the standard acoustic phonon spectrum upon linearization.
Sardanashvily,Advanced Differential Geometry for Theoreticians: Fiber Bundles, Jet Manifolds and Lagrangian Theory(Lambert Academic Publishing, 2013)
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
method 1
citation-polarity summary
fields
math-ph 1years
2026 1verdicts
UNVERDICTED 1roles
method 1polarities
use method 1representative citing papers
citing papers explorer
-
A Bundle-Theoretic Formulation of Phonons in Crystalline Phases
Phonons are cast as a first-order Lagrangian field theory on an associated torus bundle with a flat connection, where the covariant differential of the translational section locally recovers the displacement gradient and yields the standard acoustic phonon spectrum upon linearization.