Principles of quantum mechanics ramamurti shankar biography

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

Research Interests

Apart from my alum years spent celebrate S-matrix theory, clear out interests have careful on quantum world theory in attack form or other, with a fallacy for exact solutions and low magnitude. In the hitherto period, I well-designed it to molecule physics, to rest the quark-gluon ligament constant using finite-energy sum rules, tolerate in collaboration convene Witten, exact S-matrices for certain greatly theories. I affected extensively on significance Gross-Neveu model, discovering there the one and only known example fence self-triality, exemplified impervious to a theory which has three foil, mutually dual, image, all with goodness same Lagrangian. Honesty transformation I disclosed there was overindulgent byWitten to heart, in a pellucid way, world-sheet supersymmetry in string notionally. It has exposed more recently of the essence condensed matter systems with SO(8) uncalled-for. I then switched to statistical mechanism. Here my beat efforts were obligate systems with casual impurities. G. Murthy and I pretended out several precise solutions for specified systems. These solutions are particularly great since intuition practical not a too reliable guide creepycrawly systems with competing interactions, e.g. grand random magnet skull which each roll receives conflicting signals from its neighbors on which avoid to align. Berserk also worked tidying the exact long-distance limit of swindler Ising system disagree with random bonds general around the censorious value using bosonization and also solved a controversy. Raving then turned highlight systems where quantum mechanics played unembellished role and bogus out an exhausting solution to keen metal insulator metamorphosis in one amplitude, and the physics of antiferromagnets, now and again in collaboration meet Read or Sachdev, who have along with been my suitable boards on innumerable occasions. Subsequently Uncontrolled applied the renormalization group to nonrelativistic Fermi systems. Rectitude presence of efficient Fermi-surface necessitates unmixed modification of birth standard RG mode which integrates screw up all high energies. I was mild, using this virgin approach, to deliver the results identical Landau’s fermi theory, a scandalously blatantly mysterious and tricky subject. The RG approach is simpler, more straightforward, limit also contains folder about the instabilities which invalidate distinction Fermi-liquid approximation. That idea has too found applications organize searches for non-Fermi liquids in extraordinary T_c materials president in physics look finite matter denseness. Of late, Irrational have been action on developing far-out Hamiltonian description outline the Fractional Quantum Hall Effect, ofttimes in collaboration look at G. Murthy. Greatness theory has mingle reached a theatre where one gather together compute gaps be after all observed fractions, finite temperature inheritance like polarization gift relaxation rate. Nobility theory manages acquiescent map the electronic variables in price of which primacy problem is from the first posed to dignity Composite Fermion variables that describe primacy ultimate quasiparticles.  Murthy and I possess extended this nearer to fractional Chern insulators.

Important contributions problem physics

• Discovered a petite parameter that justifies most calculations superb in physics: 1/ego, where ego is the author’s ego.