Quantum Mechanics by Sergio Cecotti ISBN 9783031988240, 3031988248 instant download

Quantum Mechanics by Sergio Cecotti ISBN 9783031988240, 3031988248 instant download

Being addressed to talented math students, this book aims to present Quantum Mechanics in a mathematically precise and elegant way, while providing physical insight on the meaning and implications of the formal statements. The Qiuzhen College wants its students to become accomplished mathematicians but also to develop a good “physical intuition.”

Contrary to typical Quantum Mechanics textbooks with a mathematical leaning, in this book Functional Analysis is kept at its minimum, while stressing the Algebraic, Geometric, and  representation Theoretic aspects, including some deep stories never told in Quantum Mechanics textbook such as: the application of the Picard-Vessiot theory of differential Galois groups to the Schrödinger equation, the Prüfer formulation of Sturm-Liouville problems, the relation of the Riemann-Roch theorem with Quantum Mechanics in presence of magnetic fields, the Riemann-Hilbert correspondence vs. the Bohm-Aharonov effect, the theory of harmonic polynomials, the use of Hilbert spaces of holomorphic functions, the geometric origin of the Berry phase, and so on.