In quantum mechanics, the particle in a one-dimensional lattice is a problem that occurs in the model of a periodic crystal lattice. The potential is...

atom in a spherical cavity with Dirichlet boundary conditions The particle in a one-dimensional lattice (periodic potential) The particle in a one-dimensional...

what their signs are or how limited their sizes are. For a particle in a one-dimensional lattice, like the Kronig–Penney model, it is possible to calculate...

a ring particle in a spherically symmetric potential quantum harmonic oscillator hydrogen atom ring wave guide particle in a one-dimensional lattice (periodic...

A five-dimensional space is a space with five dimensions. In mathematics, a sequence of N numbers can represent a location in an N-dimensional space. If...

example: a rigid regular, crystalline (not amorphous) lattice is composed of N particles. These particles may be atoms or molecules. N is a large number...

form of the particle in a box model considers a one-dimensional system. Here, the particle may only move backwards and forwards along a straight line...

worked out in a specific situation, see the article Particle in a one-dimensional lattice (periodic potential). Bloch's theorem — For electrons in a perfect...

oscillator Hydrogen atom or hydrogen-like atom Ring wave guide Particle in a one-dimensional lattice (periodic potential) Hydrogen molecular ion Holstein–Herring...

This state is either a band-edge state or a surface state in the band gap(see, Particle in a one-dimensional lattice, Particle in a box). Numerical calculations...

dimension. In 4D this is D4 lattice; and E8 lattice in 8-dimension. The implementation of these high dimensional periodic boundary conditions is equivalent...

consisting of fictive particles, and such particles perform consecutive propagation and collision processes over a discrete lattice. Due to its particulate...

transitions as a simplified model of reality. The two-dimensional square-lattice Ising model is one of the simplest statistical models to show a phase transition...

particles to form symmetric patterns that repeat along the principal directions of three-dimensional space in matter. The smallest group of particles...

group. The notation of a harmonic oscillator can be extended to a one-dimensional lattice of many particles. Consider a one-dimensional quantum mechanical...

particle}}}}} In these formulas, r particle {\displaystyle r_{\text{particle}}\,} is the particle radius, γ particle-matrix {\displaystyle...

Sanders, Jerome C. (Apr 2010). "Dimer of two bosons in a one-dimensional optical lattice". Phys. Rev. A. 81 (4): 043609. arXiv:1004.5118. Bibcode:2010PhRvA...

symmetry, lattice packings are easier to classify than non-lattice ones. Periodic lattices always have well-defined densities. In three-dimensional Euclidean...

a 3×1018-dimensional vector space—one dimension for each coordinate (x, y, z) of each particle. Directly and straightforwardly trying to solve such a...

A virtual particle is a theoretical transient particle that exhibits some of the characteristics of an ordinary particle, while having its existence limited...

In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called...

This is a list of known and hypothesized particles. Elementary particles are particles with no measurable internal structure; that is, it is unknown whether...

model is a two-dimensional model of fluid particle interactions. In this model, the lattice is square, and the particles travel independently at a unit speed...

particles bombard the lattice, creating collision cascades and additional vacancies, which migrate towards sinks. The main effect of irradiation in a...

lattice, forming a lattice path. In a simple symmetric random walk on a locally finite lattice, the probabilities of the location jumping to each one...

derivation: a charged quantum particle in a two-dimensional square lattice, with a lattice spacing a {\displaystyle a} , is described by a periodic Schrödinger...

The tight binding Hamiltonian in of a Kitaev chain considers a one dimensional lattice with N site and spinless particles at zero temperature, subjected...

describing free propagation of the electron-hole pair as a composite particle in the crystalline lattice in agreement with the Bloch theorem. The exciton energy...

point, so that a one-dimensional or two-dimensional scalar does not have a well defined average value. If the field is an angle, θ, as it is in the Mexican...

provide a possible platform for direct tuning of wavelength in optical lattice systems. Continuous control of the periodicity of a one-dimensional optical...