Govind S. Krishnaswami

I am a theoretical physicist working as a Professor at the Chennai Mathematical Institute (CMI). I was a Ramanujan Fellow at CMI, an EPSRC Fellow at Durham University, a Marie Curie Fellow with Gerard 't Hooft at Utrecht and a Ph.D. student of S. G. Rajeev at Rochester. Email: govind at cmi dot ac point in Teaching and Student theses/projects Curriculum Vitae & Publications, Talks

Research Interests: Theoretical and Mathematical Physics: Nonlinear Dynamics & Chaos, Integrable Systems, Fluid & Plasma Dynamics, Particle Physics, Quantum Field Theory, Large-N limits.

Book: Classical Mechanics: From Particles to Continua and Regularity to Chaos

Recent Papers:

1. Lax pairs and r-matrices for some two-dimensional isotropic oscillators
2. Symbol sequences from three-rotor coincidences and their word-complexity
3. Level crossing instabilities in inviscid isothermal compressible Couette flow
4. Quantum three-rotor problem in the identity representation
5. Screwon spectral statistics and dispersion relation in the quantum Rajeev-Ranken model
6. Bifurcation cascade, self-similarity and duality in the 3-rotor problem
7. Quantum Rajeev-Ranken model as an anharmonic oscillator
8. The idea of a Lax pair - Part II: Continuum Wave Equations
9. The idea of a Lax pair - Part I: Conserved quantities for a dynamical system
10. An introduction to Lax pairs and the zero curvature representation
11. The Added Mass Effect and the Higgs Mechanism: How Accelerated Bodies and Elementary Particles Can Gain Inertia
12. Ergodicity, mixing and recurrence in the three rotor problem
13. Nonlinear dispersive regularization of inviscid gas dynamics
14. Invariant tori, action-angle variables and phase space structure of the Rajeev-Ranken model
15. Classical three rotor problem: periodic solutions, stability and chaos
16. On the Hamiltonian formulation, integrability and algebraic structures of the Rajeev-Ranken model
17. An Introduction to the Classical Three-Body Problem: From Periodic Solutions to Instabilities and Chaos
18. Stability and chaos in the classical three rotor problem
19. Conservative regularization of compressible dissipationless two-fluid plasmas
20. Curvature and geodesic instabilities in a geometrical approach to the planar three-body problem
21. Algebra and geometry of Hamilton's quaternions
22. Local conservative regularizations of compressible magnetohydrodynamic and neutral flows
23. Conservative regularization of compressible flow and ideal magnetohydrodynamics
24. A critique of recent semi-classical spin-half quantum plasma theories
25. Higgs Mechanism and the Added-Mass Effect
26. Comment on "Spin-Gradient-Driven Light Amplification in a Quantum Plasma"
27. A critique of recent theories of spin-half quantum plasmas
28. A KdV-like advection-dispersion equation with some remarkable properties
29. On lightest baryon and its excitations in large-N 1+1-dimensional QCD
30. Possible large-N fixed-points and naturalness for O(N) scalar fields
31. Schwinger-Dyson operators as invariant vector fields on a matrix-model analogue of the group of loops
32. Schwinger-Dyson operator of Yang-Mills matrix models with ghosts and derivations of the graded shuffle algebra
33. Non-anomalous `Ward' identities to supplement large-N multi-matrix loop equations for correlations
34. Multi-matrix loop equations: algebraic & differential structures and an approximation based on deformation quantization
35. Phase transition in matrix model with logarithmic action: Toy-model for gluons in baryons
36. 2+1 Abelian `Gauge Theory' Inspired by Ideal Hydrodynamics
    

Other Research Topics: Variational Principle for Large-N Multi-Matrix Models formulated as classical dynamical systems, Approximation methods for Large-N Yang-Mills Theory and matrix models, Non-perturbative structure of Baryons as Solitons in the large N limit of Two-dimensional QCD, Loop space representation of Yang-Mills Theory, Non-commutative Probability Theory.

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