ar X iv : c on d - m at / 9 81 14 09 v 1 2 9 N ov 1 99 8 Stripe phase ordering as quantum interference phenomenon

ar X iv : m at h - ph / 9 81 20 09 v 1 1 3 D ec 1 99 8 Quantum dots A survey of rigorous results

ar X iv : m at h - ph / 9 81 10 17 v 1 1 9 N ov 1 99 8 Geometry of the reduced quantum plane ∗

We consider the space M of N × N matrices as a reduced quantum plane and discuss its geometry under the action and coaction of finite dimensional quantum groups (a quotient of UqSL(2), q being an N-th root of unity, and its dual). We also introduce a differential calculus for M: a quotient of the Wess Zumino complex. We shall restrict ourselves to the case N odd and often choose the particular ...

ar X iv : c on d - m at / 9 81 12 63 v 2 2 5 N ov 1 99 8 Electro - mechanical Properties of Carbon Nanotubes

We present a simple picture to understand the bandgap variation of any chiral carbon nanotubes with tensile and torsional strains. Using this picture, we are able to predict a simple dependence of d(Bandgap)/d(strain) on the value of (Nx −Ny) mod 3, for semiconducting tubes. We also predict a novel change in sign of d(Bandgap)/d(strain) as a function of tensile strain arising from a change in t...

ar X iv : m at h / 99 11 07 4 v 1 [ m at h . Q A ] 1 1 N ov 1 99 9 CRYSTAL GRAPHS FOR BASIC REPRESENTATIONS OF THE QUANTUM AFFINE

We give a realization of crystal graphs for basic representations of the quantum affine algebra Uq(C (1) 2) in terms of new combinatorial objects called the Young walls.

ar X iv : c on d - m at / 9 91 10 15 v 1 2 N ov 1 99 9 Effect of transport coefficients on the time - dependence of density matrix

For Lindblad's master equation of open quantum systems with a general quadratic form of the Hamiltonian, the propagator of the density matrix is analytically calculated by using path integral techniques. The time-dependent density matrix is applied to nuclear barrier penetration in heavy ion collisions with inverted oscillator and double-well potentials. The quantum mechanical decoherence of pa...