**Mathematical Tools of Quantum Mechanics**

by Gianfausto Dell'Antonio

**Publisher**: Sissa, Trieste 2012

**Description**:

The author gives a presentation which, while preserving mathematical rigor, insists on the conceptual aspects and on the unity of Quantum Mechanics. The theory which is presented here is Quantum Mechanics as formulated in its essential parts on one hand by de Broglie and Schroedinger and on the other by Born, Heisenberg and Jordan with important contributions by Dirac and Pauli.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**Quantum Theory, Groups and Representations: An Introduction**

by

**Peter Woit**-

**Columbia University**

These notes cover the basics of quantum mechanics, from a point of view emphasizing the role of unitary representations of Lie groups in the foundations of the subject. The approach to this material is simultaneously rather advanced...

(

**4289**views)

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

by

**Jan Govaerts**-

**arXiv**

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.

(

**8963**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.

(

**6850**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.

(

**4315**views)