**A Pedestrian Introduction to the Mathematical Concepts of Quantum Physics**

by Jan Govaerts

**Publisher**: arXiv 2008**Number of pages**: 79

**Description**:

These notes offer a basic introduction to the primary mathematical concepts of quantum physics, and their physical significance, from the operator and Hilbert space point of view, highlighting more what are essentially the abstract algebraic aspects of quantization in contrast to more standard treatments of such issues, while also bridging towards the path integral formulation of quantization.

Download or read it online for free here:

**Download link**

(830KB, PDF)

## Similar books

**Mathematical Foundations of Quantum Mechanics**

by

**Valter Moretti**-

**arXiv**

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 ...

(

**6277**views)

**Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics**

by

**N.P. Landsman**-

**arXiv**

A graduate-level introduction to C*-algebras, Hilbert C*-modules, vector bundles, and induced representations of groups and C*-algebras, with applications to quantization theory, phase space localization, and configuration space localization.

(

**10914**views)

**Homological Tools for the Quantum Mechanic**

by

**Tom Mainiero**-

**arXiv.org**

This paper is an introduction to work motivated by the question 'can multipartite entanglement be detected by homological algebra?' We introduce cochain complexes associated to multipartite density states whose cohomology detects factorizability.

(

**2670**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.

(

**12541**views)