Hagen Kleinert
Hagen Kleinert is Professor of Theoretical Physics at the Free University of Berlin, Germany, and Honorary Member of the Russian Academy of Creative Endeavors.
Professor Kleinert has written numerous papers on mathematical physics and the physics of elementary particles, nuclei, solid state, liquid crystals, biomembranes, microemulsions, polymers, and theory of financial markets. He has written several books on theoretical physics. His most notable book Path Integrals in Quantum Mechanics, Statistics and Polymer Physics has been published in four editions since 1990 with the latest two editions including chapters on the application of path integrals in financial markets.
As a young professor in 1972, Kleinert visited Caltech and was impressed by noted US physicist Richard Feynman. He discovered how to use Feynman's path integrals to solve the hydrogen atom (see here and here!) ; this work greatly extended the applicable range of Feynman's techniques. Later, Kleinert was to collaborate with Feynman in some of the latter's last work (anecdotes). This has led to a mathematical method for converting divergent power series into convergent ones, and from this to the most accurate theory of critical exponents observable close to second-order phase transitions, as confirmed for superfluid helium in satellite experiments.
Professor Kleinert is a senior member of the faculty for the International Relativistic Astrophysics Ph.D Project or IRAP project. He is also involved in the European Science Foundation's Cosmology in the Laboratory project.
Books
- Gauge Fields in Condensed Matter, Vol. I, " SUPERFLOW AND VORTEX LINES", pp. 1--742, Vol. II, "STRESSES AND DEFECTS", pp. 743-1456, World Scientific (Singapore, 1989); Paperback ISBN 9971-50-210-0 (also available online: Vol. I and Vol. II)
- Critical Properties of φ4-Theories, World Scientific (Singapore, 2001); Paperback ISBN 981-02-4658-76 (also available online here)
- Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets, 3th edition, World Scientific (Singapore, 2004)(also available online here)