Joseph L. Birman

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The Second Report of the Subcommittee on the Nomenclature of n-Dimensional Crystallography recommends specific symbols for R-irreducible groups in 4 and higher dimensions (nD), for centrings, for Bravais classes, for arithmetic crystal classes and for space groups (space-group types). The relation with higher-dimensional crystallographic groups used for the(More)
We present simple analytical methods for solving the Gross–Pitaevskii equation (GPE) for the Bose–Einstein condensation (BEC) in the dilute atomic alkali gases. Using a soliton variational Ansatz we consider the effects of repulsive and attractive effective nonlinear interactions on the BEC ground state. We perform a comparative analysis of the solutions(More)
We introduce a new generic model of a deformed Composite Fermion–Fermi Surface (CF–FS) for the Fractional Quantum Hall Effect near ν = 1/2 in the presence of a periodic density modulation. Our model permits us to explain recent surface acoustic wave observations of anisotropic anomalies [1,2] in sound velocity and attenuation – appearance of peaks and(More)
We consider the effect of an extra electron in a doped quantum dot ZnS : Mn2+. The Coulomb interaction and exchange interaction between the extra electron and the states of the Mn ion will mix the wavefunctions, split the impurity energy levels, break the previous selection rules and change the transition probabilities. Using this model of an extra electron(More)
We investigate a new hybrid exciton state which arises when a regular array of semiconductor quantum dots is placed in an molecular organic medium. The new eigenstate arises owing to strong dipole dipole coupling of the Wannier-Mott transfer excitons of the dots, and the Frenkel excitons of the organic molecules. The new state has a large oscillator(More)
We propose and investigate a model for the coexistence of Superconductivity (SC) and Ferroelectricity (FE) based on the dynamical symmetries su(2) for the (pseudo-spin) SC sector , h(4) for the (displaced oscillator) FE sector and su(2)⊗h(4) for the composite system. We assume a minimal symmetryallowed coupling ,and simplify the hamiltonian using a double(More)