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math-ph2022
A Magnetic Pseudodifferential Calculus for Operator-Valued and Equivariant Operator-Valued Symbols
Giuseppe De Nittis, Max Lein, Marcello Seri
In this monograph we develop magnetic pseudodifferential theory for operator-valued and equivariant operator-valued functions and distributions from first principles. These have fo…
math-ph2018
Equivalence of Electric, Magnetic and Electromagnetic Chern Numbers for Topological Photonic Crystals
Giuseppe De Nittis, Max Lein
Haldane predicted an analog of the Integer Quantum Hall Effect in gyrotropic photonic crystals, where the net number of electromagnetic edge modes moving left-to-right is given by…
math-ph2018
Taking Inspiration from Quantum-Wave Analogies --- Recent Results for Photonic Crystals
Max Lein
Similarities between quantum systems and analogous systems for classical waves have been used to great effect in the physics community, be it to gain an intuition for quantum syste…