Guide to Mathematical Concepts of Quantum Theory
by Teiko Heinosaari, Mario Ziman
Publisher: arXiv 2008
Number of pages: 188
Description:
Quantum Theory is one of the pillars of modern science developed over the last hundred years. In this review paper the authors introduce, step by step, the quantum theory understood as a mathematical model describing quantum experiments. The goal is to give a mathematically clear and self-containing explanation of the main concepts of the modern language of quantum theory.
Download or read it online for free here:
Download link
(1.2MB, PDF)
Similar books
![Book cover: Symplectic Geometry of Quantum Noise](images/7638.jpg)
by Leonid Polterovich - arXiv
We discuss a quantum counterpart of certain constraints on Poisson brackets coming from 'hard' symplectic geometry. They can be interpreted in terms of the quantum noise of observables and their joint measurements in operational quantum mechanics.
(9834 views)
![Book cover: Mathematical Methods in Quantum Mechanics](images/3189.jpg)
by Gerald Teschl - American Mathematical Society
This is a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required.
(16064 views)
![Book cover: Uncertainty and Exclusion Principles in Quantum Mechanics](images/11936.jpg)
by Douglas Lundholm - arXiv.org
These are lecture notes for a master-level course given at KTH, Stockholm, in the spring of 2017, with the primary aim of proving the stability of matter from first principles using modern mathematical methods in many-body quantum mechanics.
(5007 views)
![Book cover: Using Mathematica for Quantum Mechanics: A Student's Manual](images/12242.jpg)
by Roman Schmied - arXiv.org
This book is an attempt to help students transform all of the concepts of quantum mechanics into concrete computer representations, which can be analyzed and understood at a deeper level than what is possible with more abstract representations.
(5120 views)