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...
18 KB (3,590 words) - 14:48, 24 July 2023
atom in a spherical cavity with Dirichlet boundary conditions The particle in a one-dimensional lattice (periodic potential) The particle in a one-dimensional...
6 KB (700 words) - 01:39, 10 April 2023
a ring particle in a spherically symmetric potential quantum harmonic oscillator hydrogen atom ring wave guide particle in a one-dimensional lattice (periodic...
4 KB (359 words) - 12:18, 4 July 2023
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...
8 KB (1,092 words) - 15:25, 13 January 2024
Phonon (redirect from Lattice vibration)
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...
47 KB (6,793 words) - 16:58, 20 August 2024
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...
15 KB (1,598 words) - 23:59, 8 June 2024
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...
36 KB (6,052 words) - 07:43, 21 May 2024
oscillator Hydrogen atom or hydrogen-like atom Ring wave guide Particle in a one-dimensional lattice (periodic potential) Hydrogen molecular ion Holstein–Herring...
16 KB (2,714 words) - 10:00, 18 August 2024
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...
36 KB (5,982 words) - 09:01, 3 July 2024
dimension. In 4D this is D4 lattice; and E8 lattice in 8-dimension. The implementation of these high dimensional periodic boundary conditions is equivalent...
18 KB (2,539 words) - 16:06, 14 June 2024
Surface states (category All Wikipedia articles written in American English)
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...
28 KB (4,112 words) - 13:19, 28 December 2023
Crystal structure (redirect from Crystal lattice)
particles to form symmetric patterns that repeat along the principal directions of three-dimensional space in matter. The smallest group of particles...
45 KB (5,143 words) - 18:23, 8 August 2024
Ising model (redirect from Spin lattice)
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...
122 KB (19,673 words) - 04:58, 22 August 2024
consisting of fictive particles, and such particles perform consecutive propagation and collision processes over a discrete lattice. Due to its particulate...
45 KB (7,650 words) - 12:01, 24 July 2024
This is a list of known and hypothesized particles. Elementary particles are particles with no measurable internal structure; that is, it is unknown whether...
32 KB (2,981 words) - 14:20, 18 July 2024
particles bombard the lattice, creating collision cascades and additional vacancies, which migrate towards sinks. The main effect of irradiation in a...
21 KB (2,657 words) - 09:53, 16 July 2024
Sphere packing (redirect from Lattice packing)
symmetry, lattice packings are easier to classify than non-lattice ones. Periodic lattices always have well-defined densities. In three-dimensional Euclidean...
28 KB (3,414 words) - 06:13, 21 May 2024
Quasiparticle (redirect from Quasi-particle)
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...
26 KB (3,211 words) - 01:21, 19 April 2024
Random walk (redirect from Random Walk--1-Dimensional)
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...
55 KB (7,633 words) - 08:00, 22 August 2024
particle}}}}} In these formulas, r particle {\displaystyle r_{\text{particle}}\,} is the particle radius, γ particle-matrix {\displaystyle...
22 KB (2,758 words) - 22:54, 10 August 2024
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...
35 KB (4,628 words) - 12:08, 13 August 2024
A virtual particle is a theoretical transient particle that exhibits some of the characteristics of an ordinary particle, while having its existence limited...
22 KB (2,908 words) - 21:34, 22 August 2024
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...
10 KB (1,340 words) - 06:09, 3 December 2023
Quantum harmonic oscillator (category Pages displaying wikidata descriptions as a fallback via Module:Annotated link)
group. The notation of a harmonic oscillator can be extended to a one-dimensional lattice of many particles. Consider a one-dimensional quantum mechanical...
44 KB (6,974 words) - 10:38, 15 August 2024
Bound state (redirect from Bound particle)
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...
20 KB (2,320 words) - 08:41, 10 February 2024
provide a possible platform for direct tuning of wavelength in optical lattice systems. Continuous control of the periodicity of a one-dimensional optical...
18 KB (2,442 words) - 21:23, 7 May 2024
String theory (redirect from Ten-dimensional space)
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called...
123 KB (15,355 words) - 13:02, 16 August 2024
Mermin–Wagner theorem (category Theorems in quantum mechanics)
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...
30 KB (4,310 words) - 14:08, 6 June 2024
derivation: a charged quantum particle in a two-dimensional square lattice, with a lattice spacing a {\displaystyle a} , is described by a periodic Schrödinger...
19 KB (2,508 words) - 20:18, 20 May 2024
A Peierls transition or Peierls distortion is a distortion of the periodic lattice of a one-dimensional crystal. Atomic positions oscillate, so that the...
12 KB (1,548 words) - 14:00, 6 July 2024