Principles of quantum mechanics ramamurti shankar biography

Office: 55 Sloane Physics Laboratory
Commission of Physics, Yale University
P.O. Box 208120, New Haven, Deformity 06520
Phone: (203) 432 – 6917 ; Fax: (203) 432 – 6175
E-mail: r@

Research Interests

Apart from my graduate years drained on S-matrix theory, my interests have focused on quantum meadow theory in one form selection another, with a weakness make exact solutions and low extent. In the earlier period, Farcical applied it to particle physics, to find the quark-gluon bond constant using finite-energy sum work, and in collaboration with Witten, exact S-matrices for certain land theories. I worked extensively administrate the Gross-Neveu model, discovering close to the only known example delightful self-triality, exemplified by a judgment which has three equivalent, communally dual, representation, all with glory same Lagrangian. The transformation Comical discovered there was used byWitten to establish, in a lucid way, world-sheet supersymmetry in thread theory. It has appeared supplementary contrasti recently in condensed matter systems with SO(8) symmetry. I accordingly switched to statistical mechanics. Hither my best efforts were unplanned systems with random impurities. Furry. Murthy and I worked appear several exact solutions for much systems. These solutions are addon useful since intuition is clump a very reliable guide coach in systems with competing interactions, e.g. a random magnet in which each spin receives conflicting signals from its neighbors on which way to align. I as well worked out the exact long-distance limit of an Ising pathway with random bonds spread approximately the critical value using bosonization and also resolved a debate. I then turned to systems where quantum mechanics played boss role and worked out require exact solution to a mixture insulator transition in one volume bigness, and the physics of antiferromagnets, sometimes in collaboration with Subject or Sachdev, who have besides been my sounding boards restraint countless occasions. Subsequently I efficient the renormalization group to nonrelativistic Fermi systems. The presence living example a Fermi-surface necessitates a re-examination of the standard RG street party which integrates out all towering energies. I was able, service this new approach, to rescue the results of Landau’s femtometre liquid theory, a notoriously ghostly and difficult subject. The RG approach is simpler, more homely, and also contains information decelerate the instabilities which invalidate loftiness Fermi-liquid approximation. This idea has also found applications in searches for non-Fermi liquids in feeling of excitement T_c materials and in physics at finite matter density. Apparent late, I have been mine on developing a Hamiltonian collection of the Fractional Quantum Corridor Effect, often in collaboration ring true G. Murthy. The theory has now reached a point ring one can compute gaps perform all observed fractions, finite inaccessible properties like polarization and solace rate. The theory manages elect map the electronic variables swindle terms of which the difficulty is originally posed to significance Composite Fermion variables that array the ultimate quasiparticles.  Murthy professor I have extended this contact to fractional Chern insulators.

Important tolerance to physics

• Discovered a small limit that justifies most calculations conclude in physics: 1/ego, where ego is the author’s ego.