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Martin Schaden

Title: Assistant Professor Email: mschaden@andromeda.rutgers.edu Phone: 973-353-5091 Fax: 973-353-1434 Office: 365 Smith Hall Research: Field theory: lattice gauge theory, BRST-symmetry, finite temperature, vacuum structure and topology. Theoretical atomic physics: Semiclassical methods and macroscopic quantum effects in nano-scale physics. Finance: quantum modeling of stock market dynamics

My research is in quantum field theory, theoretical atomic physics and finance. Previous research was on the gauge fixing ambiguity of non-Abelian gauge theories which I related to a topological field theory of the gauge group. I developed a semiclassical method that describes macroscopic quantum effects such as Casimir forces and diffraction by periodic classical paths. I also proposed an amusingly simple quantum model for the dynamics of the stock market.
My current research is on an 1/N expansion at finite temperature that respects the discrete center symmetry of non-Abelian gauge theories. I am also developing a method to quantitatively calculate macroscopic quantum effects. These become important in the operation and design of micro-electromechanical systems (MEMS) and in nano-meter technology.

Significant Recent Preprints and Publications:

A Center-Symmetric 1/N Expansion, http://xxx.lanl.gov/abs/hep-th/0410254

Diffraction in the Semiclassical Approximation to Feynman’s Path Integral Representation of the Green Function (with L. Spruch), Ann. Phys. 313, 37 (2004).

Quantum Finance, Physica A316 (2002) 511; A Quantum Approach to Stock Price Fluctuations, http://xxx.lanl.gov/abs/physics/0205053

Semiclassical Casimir Energies at Finite Temperature (with L. Spruch), Phys.Rev.A65 (2002) 022108.

Focusing Virtual Photons: Casimir Energies for some Pairs of Conductors (with L. Spruch), Phys.Rev.Lett.84 (2000) 459.

Equivariant Gauge Fixing of SU(2) Lattice Gauge Theory , Phys.Rev.D59 (1999) 014508.

Infinity-free Semiclassical Evaluation of Casimir Effects (with L. Spruch), Phys.Rev.A58 (1998) 935.