**Mathematical Foundations of Quantum Mechanics**

by Valter Moretti

**Publisher**: arXiv 2015**Number of pages**: 101

**Description**:

The author reviews the formulation of Quantum Mechanics, and quantum theories in general, from a mathematically advanced viewpoint, essentially based on the orthomodular lattice of elementary propositions, discussing some fundamental ideas, mathematical tools and theorems also related to the representation of physical symmetries.

Download or read it online for free here:

**Download link**

(900KB, PDF)

## Similar books

**A Short Introduction to the Quantum Formalism**

by

**Francois David**-

**arXiv**

These notes present an introductory, but hopefully coherent, view of the main formalizations of quantum mechanics, of their interrelations and of their common physical underpinnings: causality, reversibility and locality/separability.

(

**8063**views)

**Using Mathematica for Quantum Mechanics: A Student's Manual**

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.

(

**5005**views)

**Symplectic Geometry of Quantum Noise**

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.

(

**9729**views)

**Geometry of Quantum Mechanics**

by

**Ingemar Bengtsson**-

**Stockholms universitet, Fysikum**

These are the lecture notes from a graduate course in the geometry of quantum mechanics. The idea was to introduce the mathematics in its own right, but not to introduce anything that is not directly relevant to the subject.

(

**14224**views)