To calculate the photoelectron spectra, we solve the time-dependent Schrödinger equation (TDSE) for a single-active-electron (SAE) model of the He atom. The effective potential in this model reads $$V(r)=-\frac{1}{r}[1+{{\rm{e}}}^{-r/{r}_{0}}-r{{\rm{e}}}^{-r/{r}_...
To derive the Unruh effect, we here, for simplification, consider a two dimensional massless scalar field case for the example. Because of the conformal invariance of the massless wave equation in two dimensions, all the Klein–Gordon equations in the four coordinate systems are the same as ...
Early experiments with transiting circular Rydberg atoms in a superconducting resonator laid the foundations of modern cavity and circuit quantum electrodynamics1, and helped explore the defining features of quantum mechanics such as entanglement. Wherea
Using the Rydberg Equation of the Bohr model of the hydrogen atom, for the transaction of an electron from energy level n = 7 to n = 3, find i) the change in energy. ii) the wavelength of the photon emitted. iii) The part of spectrum to which it belongs Using ...
Using Bohr model' find the wavelength in nanometers of the radiation emitted by a hydrogen atom when it makes a transition Explain how to interpret the Rydberg equation using the information about the Bohr model and the n ...
2. Background theoryWhile is not possible to solve the N-electron Schro ̈dingerequation directly, density functional theory (DFT) [5, 6]gives us, in principle, a method to determine the groundstate electronic structure of a system. A full review of itsapplicability to CASTEP can be found...
We find that the output spectrum can be efficiently tuned by using the power of the driving pulse and the coupling rate between the cavities. In addition, we show the carrier-envelop phase-dependent (CEP-dependent) effect of high-order sideband generation in the output spectra, and the ...
We formally define the problem of finding the ground state of an N-qubit Ising Hamiltonian in the following. Definition 2. (Ising Hamiltonian) Given the Hamiltonian H in equation (2), find a quantum state , where is 2N-dimensional, such that the energy is minimized. We use the notation ...
When equation (6) is expressed with k2D=2kNAX01 and 1−k1/k2=ΔX01/X01, we obtain so the single-frame displacement is proportional to 1−R. The trap loss simulation in Fig. 4b,c For a pair of initial and final trap potentials, which have N trap sites, two phase holograms ...
where the first (second) term in the exponential corresponds to the grating amplitude (phase) modulation, respectively. The transmission functionT(x,y) depends on the localization of the atom and the EIT. The Fraunhofer (far-field diffraction) equation can be obtained by the Fourier transformation...