Slater J C.Wave functions in a periodic potential. Physical Review . 1937J. C. Slater, Wave Functions in a Periodic Potential, Phys. Rev. 51, 846 (1937).Slater,J. C.Wave Functions in a Periodic Potential. Physical Review . 1937
The PW describes the behaviour of a free electron in a periodic potential. This basis set is a natural choice for simulations with periodic boundary conditions. The main advantage of the PW basis set is that it guarantees a smooth convergence to the exact solution as the number of PW ...
Time asymptotics of the Schrödinger wave function in time-periodic potentials - Costin, Costin, et al. - 2004Costin, O., Costin, R.D., Lebowitz, J.L.: Time asymptotics of the Schrodinger wave function in time-periodic potentials. J. Stat. Phys. 116(1-4), 283-310 (2004)...
It is known that for some time-periodic potentials $q(t, x) \\geq 0$ having compact support with respect to $x$ some solutions of the Cauchy problem for the wave equation $\\partial _t^2 u - \\Delta _x u + q(t,x)u = 0$ have exponentially increasing energy as $t o \\infty...
Numerical investigation of electronic wave functions in quasiperiodic lattices We study the electronic eigenstates on two- and three-dimensional quasiperiodic lattices using a tight-binding Hamiltonian in the vertex model. In particul... T Rieth,M Schreiber - 《Journal of Physics Condensed Matter》 ...
We prove the existence of smooth positive potentials V(t, x), periodic in time and with compact support in x, for which the Cauchy problem for the wave equation u<sub>tt</sub> − Δ<sub>x</sub>u + V(t, x)u = 0 has solutions with exponentially growing global and local energy....
a limiting waveform above which waves may become no steeper and breaking will occur. This limit for 2D periodic (monochromatic) progressive waves propagating on deep water occurs at a steepness ofkH/2 = 0.44, wherekis the wavenumber andHis the wave height. Waves in the ocean are not ...
More precisely, Peierls calculated in 1930 [5] the energy spectrum of a free electron gas submitted to an external sinusoidal potential. He found that the effect of a periodic potential of wave number q is to open an energy gap (2Δ) in the band structure at wave vectors ±q/2. For ...
(q)in wavevector space. By studying strongly underdoped Bi2Sr2CaDyCu2O8at hole-density ~0.08 in the superconductive phase, we detect the 8a0-periodicΔP(r)modulations signifying a PDW coexisting with superconductivity. Then, by visualizing the temperature dependence of this electronic structure from...
functions19,23and different terminology for these models28. In all these models, active and inactive forms of GTPases are presented with diffusion coefficients that differ by orders of magnitude, because GTPases are considered to be membrane-bound in active form and cytosolic in inactive form (...