Ramamurti Shankar

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Ramamurti Shankar (born April 28, 1947 in New Delhi ) is an Indian-American theoretical physicist who deals with quantum field theory and solid state physics.

Life

Shankar studied electrical engineering at the Indian Institute of Technology (Bachelor's degree in 1969), but then switched to physics and received his doctorate in 1974 at the University of California, Berkeley with Geoffrey Chew (in S-matrix theory of elementary particles). As a post-doc he was at Harvard University until 1977 and then went to Yale University as a Gibbs Instructor. He later became a professor there and from 2001 to 2007 he headed the physics faculty.

In 2009 he received the Julius Edgar Lilienfeld Prize for his innovative applications of field theoretical methods on many-body systems in solid-state physics and his teaching of physics in textbooks, in university teaching and through public lectures. He is a Fellow of the American Physical Society and a Trustee of the Aspen Center for Physics . In 2014 he was accepted into the American Academy of Arts and Sciences . In 1982 he became a research fellow of the Alfred P. Sloan Foundation ( Sloan Research Fellow ).

He is a US citizen.

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Shankar initially dealt with quantum field theory and determined, for example, the quark-gluon coupling constant with sum rules and examined model field theories such as the Gross-Neveu model, in which he discovered that it had three representations that were dual to one another (self-triality).

In statistical mechanics and solid state physics, he investigated models with random interferences. Partly with Ganpathy Murthy, he found exact solutions to disordered variants of the Ising model. Also with Murthy, he later found exact solutions in the theory of disordered and chaotic quantum dots.

He developed a renormalization group theory for Fermi liquids, whereby he was able to derive the Landau theory and also to show its limits on the basis of instabilities. His theory also found applications in non-Fermi fluids, such as high-temperature superconductors. With Murthy he developed a field theory of the fractional quantum Hall effect (FQHE) with new composite quasiparticle excitations (composite fermions).

He developed an exact solution of the metal-insulator transition in one dimension and dealt with antiferromagnets .

He is the author of Principles of Quantum Mechanics , a textbook on quantum mechanics .

Fonts

  • Principles of Quantum Mechanics Plenum Press, New York 1994, ISBN 978-0-306-44790-7 .
  • Basic training in mathematics- a fitness training for science students, Plenum 1995
  • Effective field theory in condensed matter physics, in TY Yao (Editor): Conceptual Foundations of Quantum Field Theory, Cambridge University Press, 1998
  • Bosonization: How to make it work for you in condensed matter physics, in J. Pati, Q. Shafi, Yu Lu (editor): Current topics in Condensed Matter and Particle Physics, World Scientific 1993
  • with Ganpathy Murthy: Hamiltonian theories of the FQHE, Rev. Mod. Phys., Volume 75, 2003, p. 1101
  • Renormalization group approach to interacting fermions, Rev. Mod. Phys., Volume 66, 1994, p. 129
  • The Renormalization group approach- from Fermi liquids to quantumdots, in Heiss (editor): Quantum dots- a doorway to nanoscale physics, Lecturenotes in Physics Vol. 667, Springer Verlag 2005

Web links

Individual evidence

  1. Date of birth according to Kalte u. a. American Men and Woman of Science , 2005
  2. Laudation: For his innovative applications of field theoretic techniques to quantum condensed matter systems, and his marvelous presentations of the story of physics through teaching, lectures, textbooks, and public talks
  3. Determination of the quark-gluon coupling constant, Phys. Rev. D, Vol. 15, 1977, p. 755
  4. ^ Solvable models with self-triality in statistical mechanics and field theory, Phys. Rev. Lett., Vol. 46, 1981, p. 179
  5. Murthy, Shankar: Nearest neighbor frustrated random-bond Ising model in d = 2, Phys. Rev. B, Volume 36, 1987, p. 536. Shankar: Exact critical behavior of a random-bond two-dimensional Ising Model, Phys. Rev. Lett., Vol. 58, 1987, p. 2466
  6. Murthy, Shankar: Field Theory of the Fractional Quantum Hall Effect, Phys. Rev. Lett., Vol. 79, 1997, p. 4437
  7. A solvable model of the metal-insulator transition, Int. J. Mod. Phys. B, Volume 4, 1990, p. 2371
  8. Shankar: Hole motion in quantum antiferromagnets: New approach and exact results, Phys. Rev. Lett., Volume 63, 1989, p. 203. Shankar, S. Sachdev, T. Senthil: Finite temperature properties of quantum antiferromagnets in a uniform magnetic field in one and two dimensions, Physical Review B, Volume 50, 1994, P. 258