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searching for Quantum harmonic oscillator 21 found (140 total)

alternate case: quantum harmonic oscillator

Discrete symmetry (182 words) [view diff] exact match in snippet view article find links to article

itself in various elementary physical quantum systems, such as quantum harmonic oscillator, electron orbitals of Hydrogen-like atoms by forcing wavefunctions

Quasiprobability distribution (3,379 words) [view diff] exact match in snippet view article find links to article

|^{2n}}{\pi n!}}|\langle 0|\alpha \rangle |^{2}~.} Consider the damped quantum harmonic oscillator with the following master equation, d ρ ^ d t = i ω 0 [ ρ ^

Classical limit (1,511 words) [view diff] exact match in snippet view article find links to article

V'(X)\right\rangle } do agree. In particular, for a free particle or a quantum harmonic oscillator, the expected position and expected momentum exactly follows

Complex differential form (1,413 words) [view diff] case mismatch in snippet view article find links to article

(2020). "The Poincare Lemma, Antiexact Forms, and Fermionic Quantum Harmonic Oscillator". Results in Mathematics. 75 (3). Section 4: 122. arXiv:1908

Clifford bundle (1,203 words) [view diff] case mismatch in snippet view article find links to article

(2020). "The Poincare Lemma, Antiexact Forms, and Fermionic Quantum Harmonic Oscillator". Results in Mathematics. 75 (3): 122. arXiv:1908.02349. doi:10

Einstein–Brillouin–Keller method (1,269 words) [view diff] exact match in snippet view article find links to article

(n+1/2)} , which is the exact result for quantization of the quantum harmonic oscillator. The Hamiltonian for a non-relativistic electron (electric charge

Roy J. Glauber (1,664 words) [view diff] case mismatch in snippet view article find links to article

Atomic Heritage Foundation Glauber States: Coherent states of Quantum Harmonic Oscillator Archived 2013-01-25 at the Wayback Machine Roy J. Glauber, Harvard

David Shale (742 words) [view diff] exact match in snippet view article find links to article

ISSN 0019-2082. Shale, David; Stinespring, W. Forrest (1967). "The quantum harmonic oscillator with hyperbolic phase space" (PDF). Journal of Functional Analysis

De Rham cohomology (2,923 words) [view diff] case mismatch in snippet view article find links to article

(2020). "The Poincare Lemma, Antiexact Forms, and Fermionic Quantum Harmonic Oscillator". Results in Mathematics. 75 (3): 122. arXiv:1908.02349. doi:10

Pseudo-spectral method (2,505 words) [view diff] exact match in snippet view article find links to article

occur naturally in several standard problems. For example, the quantum harmonic oscillator is ideally expanded in Hermite polynomials, and Jacobi-polynomials

Equatorial wave (2,494 words) [view diff] exact match in snippet view article find links to article

{v}}(y)} . Recognizing this as the Schrödinger equation for a quantum harmonic oscillator of frequency Ω = β / c {\displaystyle \Omega =\beta /c} , we

Holomorphic vector bundle (2,394 words) [view diff] case mismatch in snippet view article find links to article

(2020). "The Poincare Lemma, Antiexact Forms, and Fermionic Quantum Harmonic Oscillator". Results in Mathematics. 75 (3): 122. arXiv:1908.02349. doi:10

Classical probability density (1,380 words) [view diff] exact match in snippet view article find links to article

The probability density function of the n = 30 state of the quantum harmonic oscillator. The solid plot represents the quantum mechanical probability

Ehrenfest theorem (2,833 words) [view diff] exact match in snippet view article find links to article

\left\langle V'(x)\right\rangle } do agree. Thus, for the case of a quantum harmonic oscillator, the expected position and expected momentum do exactly follow

Dorin N. Poenaru (2,375 words) [view diff] exact match in snippet view article find links to article

Within these multidisciplinary investigations the hemispheroidal quantum harmonic oscillator, a new deformed single-particle shell model, was developed. The

Physical organic chemistry (5,561 words) [view diff] exact match in snippet view article find links to article

The first eight states in a quantum harmonic oscillator. The horizontal axis shows the position x, and the vertical axis shows the energy. Note the even

Equipartition theorem (11,993 words) [view diff] no match in snippet view article find links to article

breakdown of equipartition, consider the average energy in a single (quantum) harmonic oscillator, which was discussed above for the classical case. Neglecting

Molar heat capacity (5,707 words) [view diff] exact match in snippet view article find links to article

the formula f* = 2cP,m/R − 2: (*) At 59 C (boiling point) The quantum harmonic oscillator approximation implies that the spacing of energy levels of vibrational

Normal order (4,040 words) [view diff] exact match in snippet view article find links to article

\exp(-\beta {\hat {H}})} . For instance, for a single bosonic quantum harmonic oscillator we have that the thermal expectation value of the number operator

Quantization of the electromagnetic field (5,083 words) [view diff] exact match in snippet view article find links to article

equations. The second quantized treatment of the one-dimensional quantum harmonic oscillator is a well-known topic in quantum mechanical courses. We digress

Heat transfer physics (9,679 words) [view diff] no match in snippet view article find links to article

1/2] and bκ,α†bκ,α is the phonon number operator. The energy of quantum-harmonic oscillator is Ep = Σκ,α [fp(κ,α) + 1/2]ħωp,α(κp), and thus the quantum of