2014 The theory of the Jahn-Teller effect is treated for the case of trigonal symmetry and strong vibronic interaction. The vibronic Hamiltonian is established assuming that the vibrational modes are any E modes whatsoever but respecting the trigonal symmetry. The trigonal potential and the vibronic interaction are diagonalized at the same time, in the basis of the cubic T1 or T2 electronic sta...

X iv :h ep -t h/ 94 09 09 7v 1 1 7 Se p 19 94 CALT-68-1949, USC-94-015 hep-th/9409097 September 1994 On the non-relativistic limit of the quantum sine-Gordon model with integrable boundary condition. A. Kapustin, S. Skorik † Physics Department, California Institute of Technology, Pasadena, CA 91125. ‡ Physics Department, University of Southern California, Los Angeles, CA 90089-0484. Abstract We...

2014 The Zeeman effect has been used to analyse the fine structure of the lowest 4T2 level of Mn2+ in ZnS. We have measured the Zeeman splittings and the relative intensities for different polarizations in a 100 kG superconducting magnet. In order to interpret the experimental spectra, a cluster model is assumed and Ham effects are considered. A medium Jahn-Teller coupling with an E vibrational...

Three sets of exactly solvable one-dimensional quantum mechanical potentials are presented. These are shape invariant potentials obtained by deforming the radial oscillator and the trigonometric/hyperbolic Pöschl-Teller potentials in terms of their degree l polynomial eigenfunctions. We present the entire eigenfunctions for these Hamiltonians (l = 1, 2, . . .) in terms of new orthogonal polynom...

The magnetic structure of LaMnO3 is investigated on three-dimensional clusters of MnO6 octahedra by using a combination of relaxation and Monte Carlo techniques. It is found that the cooperative Jahn-Teller phonons lead to the stabilization of A-type antiferromagnetic and C-type orbital structures in the physically relevant region of parameter space for LaMnO3 with small corrections due to tilt...

Oxygen isotope effect studies of the ferromagnetic Curie temperature Tc of La1AxCaxMnO3 are presented. The isotope exponent α0G−∆ ln Tcy∆ ln m0 changes from 0.4 to 0.14 in the range 0.2FxF0.43. The isotope exponent decreases strongly with increasing tolerance factor, or decreasing lattice distortion. Above Tc the conductivity is characteristic of small polarons. Raman scattering shows a promine...