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Öğe CASIMIR ENERGIES OF LOCALIZED LIGHT AND ELECTRONS IN DISORDERED MATERIALS(Elsevier, 1993) DURU, IH; TOMAK, MThe magnitudes of the Casimir energies for electrons and electromagnetic fields resulting from the confinement of the corresponding particles in disordered materials are discussed. We estimate that the vacuum energy of the confined light is of the order of eV, while for electrons it is negligibly small.Öğe PARTICLE-PRODUCTION IN A CLASS OF ANISOTROPIC COSMOLOGIES(Plenum Publ Corp, 1994) DURU, IHScalar particle production is studied in a class of anisotropic spacetimes which are the exact solutions of Einstein equations with a perfect stiff fluid. Massless field creations are also discussed.Öğe PATH INTEGRAL QUANTIZATION OF THE MAGNETIC TOP(Elsevier Science Bv, 1991) BARUT, AO; DURU, IHThe magnetic top which is a realistic canonical model for quantum spin is quantized here by path integral methods. We determine the propagator and the wave functions in the space of Euler angles.Öğe PATH-INTEGRAL QUANTIZATION OF THE CONFINED SOLUTION OF A RELATIVISTIC 2-BODY PROBLEM(Elsevier Science Bv, 1994) BARUT, AO; DURU, IHThe new exact tightly bound solutions of the classical relativistic two-body problem with velocity dependent magnetic potentials are quantized by a path integral method which gives the propagator, the wave functions and the spectrum of this new dynamical system. The latter is a linearly rising Regge trajectory.Öğe SL(Q)(2) REALIZATIONS FOR KEPLER AND OSCILLATOR POTENTIALS AND Q-CANONICAL TRANSFORMATIONS(Iop Publishing Ltd, 1995) DAYI, OF; DURU, IHThe realizations of the Lie algebra corresponding to the dynamical symmetry group SO(2, 1) of the Kepler and oscillator potentials are q-deformed. The q-canonical transformation connecting two realizations is given and a general definition for the q-canonical transformation is deduced. A q-Schrodinger equation for a Kepler-like potential is obtained from the q-oscillator Schrodinger equation. The energy spectrum and the ground-state wavefunction are calculated.Öğe SPONTANEOUS PAIR PRODUCTION IN A MAGNETIC MONOPOLE FIELD(Iop Publishing Ltd, 1995) DURU, IHElectrically charged scalar particle-antiparticle pair creation in the held of a magnetic monopole is studied by path integrals. It is found that a magnetic charge g creates pairs with charge e, with angular momentum l < eg - 1/2 with the asimuthal component m = 0.