This book is dedicated to the memory of Michael Marinov, the theorist who, together with Felix Berezin, introduced the classical description of spin by anticommuting Grassmann variables. It contains original papers and reviews by physicists and mathematicians written specifically for the book. These articles reflect the current status and recent developments in the areas of Marinov's research: quantum tunneling, quantization of constrained systems, supersymmetry, and others. The personal recollections included portray the human face of M Marinov, a person of great knowledge and integrity.
Mikhail Olshanetsky is Leading Scientific Researcher at the Institute of Theoretical and Experimental Physics (Moscow). He is the author of 90 scientific papers and reviews and has been a Visiting Professor at Cornell University, University Roma I, Max-Planck Institute of Mathematics at Bonn and University of Edinburgh. Arkady Vainshtein is Professor of Physics and a member of the Theoretical Physics Institute at University of Minnesota. He is the author of 160 research papers in particle physics and quantum field theory. He is a Fellow of the American Physical Society and a recipient of the 1999 Sakurai Prize for Theoretical Particle Physics from this society.
Personal Notes: My Brother (I Kwartin); My Dear Old Friend Misha (L Brink); Quantum Tunneling, Coherence and Decoherence: Quantum Tunneling (M Shifman); Evolution Kernels for Phase-Space Distributions (B Segev); Quantization of Constrained System, Integrable Models: Lie Algebroids as Gauge Symmetries in Topological Field Theories (M Olshanetsky); Classical Integrable System: Selected Topics (A Perelomov); Quantum Chromodynamics, Hadrons and Fields: Probabilistic Model of Reggeon Field Theory (K G Boreskov); Diffractive Processes and QCD (A B Kaidalov); Mathematical and Physical Aspects of Supersymmetry: A Theory of algebraic Integration (R Casalbuoni); The Witten Index Beyond the Adiabatic Approximation (P van Baal); Other Aspects: Cube or Hypercube of Natural Units (L B Okun); Approximation Methods in Classical and Quantum Theories (R Kerner); Strings, Branes and Higher Dimensions: Aspects of Tachyon Condensation in String Theory (Y Oz); String Tension in Two-Dimensional Gauge Theories (A Armoni et al.); and other articles.