Arno Bohm

Professor

Department of Physics
The University of Texas at Austin
Austin, TX 78712-1081

Office: RLM 9.324

Telephone: 512-471-5291
Fax: 512-471-4888
Email: bohm@physics.utexas.edu

International Quantum Theory Group Home Page

RESEARCH:

Group theoretical methods in particle physics, the idea of the spectrum generating group, relativistic spectrum generating group and relativistic collective models. Also research on the quantum geometric phase and foundations and applications in molecule physics (1989-93). Work on the rigged Hilbert space formulation of quantum mechanics (1964-66), with applications to decay and Golden Rule, time evolution semigroup (1975-81), irreversible quantum theory (1993-2001).

APPOINTMENTS:

Professor	University of Texas at Austin	1975--present
Associate Professor	University of Texas at Austin	1968--1975
Research Associate	Syracuse University, N.Y.	1966--1968
IAEA Research Fellow	International Center for Theoretical Physics, Trieste, Italy	10/64--5/66
Research Fellow	University of Marburg, Germany	4/64--9/64
Wissenschaftl. Assistant	Technical University, Karlsruhe, Germany	1963--1964

VISITING APPOINTMENTS:

Institute for Theoretical Physics, Goteborg, Sweden; Max Planck Institute, Munich, Germany (several appointments, 1971-81); Solvay Institute, Brussels, Belgium (1979); University of Würzburg, Germany (Humbold Prize Awardee, 1982); Tel Aviv University, Israel (Mortimer and Raymond Sackler Fellow, 1981; Senior Fulbright Fellow, 1987); National University of Mexico (Elena Aizen de Moshinsky Chair, 1997); Max Planck Institute, Garching, Germany (Humboldt Award 1999/2000).

RECENT PROFESSIONAL ACTIVITIES:

Member, Standing Committee for the International Group Theory Colloquia; Chairman and Founder, Group Theory and Fundamental Physics Foundation (which administers the Wigner Medal); Organizer, Symposium on Semigroups, Goslar, Germany (1996); Co-organizer, The NATO Summer Institute in Salamanca, Spain (1992); Organizer, The First Workshop on Time Asymmetric Quantum Physics and Rigged Hilbert Space Mathematics (1998); Director, The Second and Third Workshops on Time Asymmetric Quantum Physics and Rigged Hilbert Space Mathematics, Clausthal, Germany (1999 and 2000)

PUBLICATIONS RELATED TO TIME ASYMMETRIC QUANTUM THEORY:

A. Bohm, Resonance Poles and Gamow Vectors in the Rigged Hilbert Space Formulation of Quantum Mechanics, J. Math. Phys. 22, 2813 (1981).
A. Bohm and M. Gadella, Dirac Kets, Gamow Vectors, and Gel'fand Triplets, Lecture Notes in Physics, First Edition, Volume 78, Springer (1978); Second edition, Volume 348, Springer (1989).
A. Bohm, S. Maxson, M. Loewe, M. Gadella, Quantum Mechanical Irreversibility, Physica A 236, 485 (1997).
A. Bohm, Time Asymmetric Quantum Physics, Phys. Rev. A 60, 861 (1999).
A. Bohm, H.-D. Doebner, P. Kielanowski [Eds.], Irreversibility and Causality: Semigroups and Rigged Hilbert Spaces , Springer Verlag, Berlin (1998) with review by A.~Bohm and N.L.~Harshman, Quantum Theory in the Rigged Hilbert Space - Irreversibility from Causality, pp. 181-237.

OTHER SIGNIFICANT PUBLICATIONS:

A. Bohm, Quantum Mechanics: Foundations and Applications, Springer, N.Y., First edition (1979); Third edition, second printing (1994).
A. Bohm, M. Loewe, P. Magnollay, M. Tarlini, R.R. Aldinger, L.C. Biedenharn, H. van Dam, Quantum Relativistic Rotator I, Phys. Rev. D 31 2304 (1985); II, 32 791 (1985); III, 32 2828 (1985).
A. Bohm, Y. Ne'eman, A.O. Barut, Dynamical Groups and Spectrum Generating Algebras, World Scientific (1988).
A. Bohm, The Geometrical Phase in Quantum Physics, Review Lectures, NATO ASI Series on Mathematical Physics, published in Integrable Systems, Quantum Groups and Quantum Field Theories; edited by L.A. Ibort and M.A. Rodriquez, Kluwer Academic Publishers (1993).

Full List of Publications

RECENT COURSES RELATED TO SUBJECT:

Spring 2001 PHY 389K: Quantum Mechanics I
Summer 2000 PHY 381N: Mathematical Methods for Physicists
Spring 2000 PHY 389L: Quantum Mechanics II