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math-ph2024
Catastrophe Theory for -invariant Unfoldings with Applications to Quantum Many-body Theory
Kauê Rodrigues Alves
The theory of singularities and its broad ramifications, especially catastrophe theory, have found fertile ground in some areas of physics (e.g., caustics, wave optics) for their a…
math-ph2022
From Short-Range to Mean-Field Models in Quantum Lattices
J. -B. Bru, W. de Siqueira Pedra, K. Rodrigues Alves
Realistic effective interparticle interactions of quantum many-body systems are widely seen as being short-range. However, the rigorous mathematical analysis of this type of model…