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math-ph2026
Quantum geometric tensors from sub-bundle geometry
Marius A. Oancea, Thomas B. Mieling, Giandomenico Palumbo
The geometric properties of quantum states are crucial for understanding many physical phenomena in quantum mechanics, condensed matter physics, and optics. The central object desc…
math-ph2025
Pseudodifferential Weyl calculus on vector bundles
Lars Andersson, Benjamin Moser, Marius A. Oancea +2
We develop a geometric framework for Weyl quantization on pseudo-Riemannian manifolds, in which pseudodifferential operators act on sections of vector bundles equipped with pseudo-…