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Hilbert bundles as quantum-classical continua. (English) Zbl 1503.81015

Summary: A hybrid quantum-classical model is proposed whereby a micro-structured (Cosserat-type) continuum is construed as a principal Hilbert bundle. A numerical example demonstrates the possible applicability of the theory.

MSC:

81P68 Quantum computation
15A66 Clifford algebras, spinors
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
74A05 Kinematics of deformation
55R10 Fiber bundles in algebraic topology
32L05 Holomorphic bundles and generalizations
53Z05 Applications of differential geometry to physics
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References:

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