A Mathematical Primer on Quantum Mechanics Pdf

A Mathematical Primer on Quantum Mechanics Pdf is written by Teta, Alessandro and we provide for free download in pdf file format. This book is an elaboration of lecture notes written through the preparation of courses for math pupils given for several years in the Colleges of L’Aquila and”La Sapienza” of Roma. The intention of the publication is to offer an elementary introduction to nonrelativistic Quantum Mechanics for one particle from the perspective of Mathematical Physics. No prior physical understanding of Quantum Mechanics is demanded and also the mathematical language essential to develop applications and theory is explicitly introduced. The requirements are fundamental theories of Classical Physics, basic theory of Hilbert spaces, Fourier transform, and components of complex and real analysis.

The first four chapters of this novel are aimed to supply some mathematical and physical background. In Chap. 1, the fundamental theories of Hamiltonian Mechanics and Electromagnetism are remembered, with a focus on several aspects relevant for understanding the source and the growth of Quantum Mechanics. In Chap. 2, the historic growth of the thoughts in Physics from Planck’s theory to Bohr’s model of the hydrogen molecule is briefly described. In Chap. 3, we present the Schrödinger equation, talk Born’s statistical interpretation, and summarize a first sketch of this new concept. It’s also stressed that the need of advanced ideas from the theory of linear operators in Hilbert spaces to acquire a rigorous and consistent comprehension of this concept. In Chap. 5, a axiomatic and rigorous formulation of nonrelativistic Quantum Mechanics has been granted. We prevent generality and neglect any technical issues. The intention is to offer the theoretical tools to approach elementary issues of Quantum Mechanics for one particle. We also briefly mention some interpretational issues of this concept linked with the measurement procedure

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