quantum harmonic oscillator can be used to look at the equilibrium situation for a quantum ideal gas in a harmonic trap, which is a harmonic potential...

mechanical macroscopic object Gas in a harmonic trap – Quantum mechanical model Creation and annihilation operators – Operators useful in quantum mechanics Coherent...

model, the theory of white dwarfs and in degenerate matter in general. Gas in a harmonic trap Herrmann, F.; Würfel, P. (August 2005). "Light with nonzero...

[clarification needed] and f is a degeneracy factor (f = 1 for simple spinless bosons). For a massive Bose gas in a harmonic trap we will have α = 3 and the...

g^{(2\mathrm {D} )}(E)={\frac {g_{s}}{2}}{\frac {m}{\pi \hbar ^{2}}}.} The harmonic trap potential: V ( x , y , z ) = 1 2 m ω x 2 x 2 + 1 2 m ω y 2 y 2 + 1 2...

field causes ions to oscillate (harmonically in the case of an ideal Penning trap) along the trap axis. The magnetic field in combination with the electric...

of the harmonic to create a frequency signal which is converted to mass. The concept of electrostatically trapping ions in an orbit around a central...

Gas dynamic laser Gas dynamics Gas focusing Gas immersion laser doping Gas in a box Gas in a harmonic trap Gas laser Gas laws Gas thermometer Gaseous...

(2001-02-05). "Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap". Physical Review A. 63 (3): 033601. doi:10.1103/PhysRevA...

for example, in dye microcavites with wavelength-scale mirror separation, forming a two-dimensional harmonically confined photon gas with tunable chemical...

laser pulses as a source of excitation. HHG can happen both in gases as well as in laser ablated plasma plumes. In gas high harmonics, a gas jet usually acts...

time dependent or time harmonic Maxwell equations using appropriate boundary conditions. In cases where the diameter of a trapped particle is significantly...

M. (2015-09-10). "Monopole Excitations of a Harmonically Trapped One-Dimensional Bose Gas from the Ideal Gas to the Tonks-Girardeau Regime". Physical Review...

artificially by plasma, high harmonic generation sources and synchrotron light sources. Since UVC extends to 100 nm, there is some overlap in the terms. The main...

estimate future oil & gas production. The three most common forms of decline curves are exponential, hyperbolic, and harmonic. It is assumed that the...

function. A diatomic gas can be modelled as two masses, m1 and m2, joined by a spring of stiffness a, which is called the rigid rotor-harmonic oscillator...

Bose gas can be considered in a harmonic trap, V ( r ) = M ω 2 / 2 {\displaystyle V(r)=M\omega ^{2}/2} , with the ground state occupancy fraction as a function...

attached to a frame, or they are held in optical traps, in both cases the mechanical system is a harmonic oscillator. Laser cooling reduces the random vibrations...

Gas electron diffraction (GED) is one of the applications of electron diffraction techniques. The target of this method is the determination of the structure...

antibubble is a droplet of liquid surrounded by a thin film of gas, as opposed to a gas bubble, which is a sphere of gas surrounded by a liquid. Antibubbles...

its principal axes. This gives rise to a harmonic oscillator in the secular motion with the so-called trapping frequency Ω ∝ q V m ω d 0 2 {\displaystyle...

potential trap. As a consequence, deviations from the b.c.c or triangular lattice are observed. A crystalline state of the 2D electron gas can also be...

A property of a physical system, such as the entropy of a gas, that stays approximately constant when changes occur slowly is called an adiabatic invariant...

High-altitude wind power High Energy Liquid Laser Area Defense System High Harmonic Generation Holographic Versatile Disc Holographic grating Holographic weapon...

though its higher harmonics could still be present. For countries where power transmission is at 50 Hz, the filter would have a 49–51 Hz range. Non-linearities...

vicinity of the parent ion. High-order harmonic generation has been observed in noble gas jets, cells, and gas-filled capillary waveguides. One of the...

F_{grad,q}=-k_{q}q} with q ∈ { x , y , z } {\displaystyle q\in \{x,y,z\}} , i.e. a harmonic oscillator with frequency ω q = k q / M {\displaystyle \omega...

simplifies to a system of interacting harmonic oscillators of atoms, and the field known as Hopfield dielectric which further predicts in the normal state...

collective oscillations of a harmonically trapped BECs, providing analytic predictions for their frequencies. This contribution had a major impact on the first...

field behaves like a set of harmonic oscillators, giving rise to black-body radiation. Both gases obey the Bose–Einstein statistics: in thermal equilibrium...