Topological quantum mechanics for physicists

A. Losev^{+}, I. Polyubin^{*+}

^{+}Institute of Theoretical and Experimental Physics, 117259 Moscow, Russia

^{*}L.D. Landau Institute for Theoretical Physics, 117334 Moscow, Russia

PACS: 03.65.Vf, 11.90.+t

**Abstract**

This text is an attempt to write an
introduction and the outline of main results of
topological quantum
mechanics for readers with the physical background. Instead of
presenting rigorous mathematical formulations we concentrate on
explanation of the physical ideas that underline most of
constructions. We review here topological quantum mechanics since it
is the simplest in the diverse family of topological theories that
contains most of their common properties.