The particle system is affected by the Scraf II Hyperbolic potential. solution for solving Schrodinger equation with Scraff potential uses a semiclassical approach, namely using WKB approach. approach used to obtain an energy spectrum that Keywords: equation, potential,

We use the time-dependent Hartree approximation to obtain the solution IO the quantum higher-order non-linear Schrodinger equation. This equation describes femtosecond pulses propagating in non-linear optical fibres and can have soliton solutions. These solitons travel at velocities that differ from the picosecond solitons obtained from the standard quantum non-linear Schrodinger equation. We f...

We describe an optical transmission line that consists of an array of wavelength-scale optical disk resonators coupled to an optical waveguide. Such a structure leads to exotic optical characteristics, including ultraslow group velocities of propagation, enhanced optical nonlinearities, and large dispersion with a controllable magnitude and sign. This device supports soliton propagation, which ...

In a three-dimensional context, it is shown how wave functions may be chosen from among the solutions of the Schrodinger equation in a consistent way without demanding single valuedness, but by imposing an invariance condition on the domain of certain given linear operators. This leads to multiple-valued wave functions in certain situations, but disallows unquantized monopoles and "unusual" ang...

The coupled-channel Schrodinger equation with outgoing wave boundary conditions is employed to study the fine structure seen in the proton decay of deformed even- N, odd- Z rare earth nuclei 131Eu and 141Ho. Experimental lifetimes and proton-decay branching ratios are reproduced. Variations with the standard adiabatic theory are discussed.

.......................................................................................................... 5 Chapter 1 – Introduction ............................................................................. 8 1.1 Carbon Nanomaterials ............................................................................................9 1.2 Applications of Carbon Nanotubes ..............................

In chis letter we integrate numerically the time dependent Schrodinger equation to investigate the use of a semi-infinite laser pulse to localize an electron in one of the wells of a double well quantum structure. Under certain conditions the system can be driven to emit stroxigly low frequency radiation.

We prove that one-dimensional Schrodinger operators with even almost periodic potential have no point spectrum for a dense Gδ in the hull. This implies purely singular continuous spectrum for the almost Mathieu equation for coupling larger than 2 and a dense Gδ in Θ even if the frequency is an irrational with good Diophantine properties.

Using the symmetries of the three-dimensional Paul trap, we derive the solutions of the time-dependent Schrodinger equation for this system, in both Cartesian and cylindrical coordinates. Our symmetry calculations provide insights that are not always obvious from the conventional viewpoint.

Recently reported computations have been extended to give ten more decimals of accuracy in the ground state energy of the Schrodinger equation for the idealized Helium atom. With the F basis-Hylleraas coordinates with negative powers and a logarithm of s-carried to the fiftieth order (N = 24,099 terms) we find the eigenvalue