Search results
Jump to navigation
Jump to search
Page title matches
- ...eory]], which deals with studying the scattering of quantum particles from potentials. The '''scattering problem''' deals with the calculation of flux distributi ...he [[transmission coefficient]] <math>T</math> (in case of one dimensional potentials), and the partial cross-section <math>\sigma_\text{l}</math> show peaks in ...7 KB (1,026 words) - 20:32, 3 January 2025
Page text matches
- ...[[quantum-mechanical]] systems. Using the supersymmetric method, there are potentials <math>V(x)</math> that can be expressed in terms of a superpotential, <math ...s. Another property is that a class of potentials known as shape invariant potentials have their energy spectra estimated exactly by this first-order condition. ...2 KB (304 words) - 05:24, 12 February 2024
- ...f the Mabuchi functional along any [[geodesic]] ray in the space of Kähler potentials is given by the [[Donaldson–Futaki invariant]] of a corresponding [[test co The Mabuchi functional is defined on the space of Kähler potentials inside a fixed Kähler [[cohomology class]] on a compact [[complex manifold] ...6 KB (879 words) - 22:40, 23 June 2023
- ...orresponding motion is chaotic. Jeans's theorem can be generalized to such potentials as follows:<ref name=DEGN>{{cite book|last=Merritt|first=David|author-link= ...4 KB (587 words) - 07:18, 13 March 2024
- .../ref> (credited as G. Pöschl) and [[Edward Teller]], is a special class of potentials for which the one-dimensional [[Schrödinger equation]] can be solved in ter ...of integer <math>\lambda</math>, the potential is reflectionless and such potentials also arise as the N-soliton solutions of the [[Korteweg–De Vries equation]] ...4 KB (517 words) - 06:48, 26 April 2024
- [[Yukawa potential]]s are particular cases of Bessel potentials for <math>s=2</math> in the 3-dimensional space. ...{{cite journal|last1=N. Aronszajn|last2=K. T. Smith|title=Theory of Bessel potentials I|journal=Ann. Inst. Fourier|date=1961|volume=11|doi=10.5802/aif.116 |at=38 ...5 KB (748 words) - 23:15, 23 November 2024
- {{short description|Electron densities of Coulomb potentials have cusps at the nucleus}} ...e = 1986PhRvA..33...88M }}</ref> It states that for generalized [[Coulomb potentials]], the [[electron density]] has a [[Cusp (singularity)|cusp]] at the positi ...2 KB (325 words) - 19:12, 15 July 2024
- [[File:Thermodynamic square.svg|thumb|The thermodynamic square with potentials highlighted in red.<br /> ...odynamics)|conjugate variables]] while the sides represent [[thermodynamic potentials]]. The placement and relation among the variables serves as a key to recall ...7 KB (987 words) - 19:33, 27 December 2024
- ===Holomorphy potentials=== ...abi's extremal Kähler metrics: An elementary introduction</ref> Holomorphy potentials are certain [[smooth function]]s on a compact Kähler manifold whose [[Hamil ...8 KB (1,119 words) - 05:32, 16 December 2024
- ==Relationship with harmonic potentials== ...5 KB (726 words) - 16:29, 13 November 2024
- ...re (QIF) model''' is a [[biological neuron model]] that describes [[action potentials]] in neurons. In contrast to physiologically accurate but computationally e ...for all <math>n \in\mathbb{N}</math>, which resembles the rhythmic action potentials generated by neurons stimulated by some input current. Thus a "spike" is sa ...3 KB (417 words) - 23:46, 3 October 2023
- dissipation potentials that are depending on <math> q </math> (then called state dependence) and a | page = (See Chapter 10.2 for dissipation potentials)}} </ref> ...4 KB (617 words) - 18:30, 4 December 2024
- ...known as '''Chebyshev constants''') are solutions to a max-min problem for potentials. Originally, these problems were introduced by a Japanese mathematician [[ | title=Optimal discrete measures for Riesz potentials ...4 KB (595 words) - 06:29, 16 August 2023
- ...f|thumb|300x300px|Red lines: Regge-Wheeler potentials. Blue lines: Zerilli potentials]] ...ocation and value of the black hole's angular momentum. The shape of above potentials are exhibited in the figure. ...9 KB (1,336 words) - 16:52, 11 November 2024
- ...component A and B while μ<sub>A</sub> and μ<sub>B</sub> are their chemical potentials. .... Hence if temperature and pressure are taken to be constant, the chemical potentials must satisfy ...4 KB (692 words) - 01:52, 21 July 2023
- ==Relationship to thermodynamic potentials== ==Differential form of the thermodynamic potentials== ...10 KB (1,607 words) - 14:34, 4 October 2024
- 1 KB (210 words) - 18:39, 17 February 2024
- ...which the system evolves and the density (or densities) of the system. The potentials under which the theorem holds are defined up to an additive purely time-dep Two external potentials differing only by an additive time-dependent, spatially independent, functi ...12 KB (1,894 words) - 04:31, 8 October 2024
- ...by <math>\frac{\phi(0)}{2}</math>). This condition applies for example to potentials that are: a) positive functions; b) [[positive-definite function]]s. : is convergent. In fact, for bounded, upper-semi-continuous potentials the hypothesis is not only sufficient, but also necessary! ...5 KB (855 words) - 11:43, 1 November 2023
- {{short description| Formulation of electromagnetic potentials}} ....<ref name=":0">E.A. Essex, [https://doi.org/10.1119/1.10955 "Hertz vector potentials of electromagnetic theory"], ''American Journal of Physics'' '''45''', 1099 ...14 KB (2,343 words) - 01:39, 9 May 2024
- ...that all short-ranged spherically symmetric pair-wise additive attractive potentials are characterised by the same thermodynamics properties, if compared at the ...the validity of the van der Waals law to systems interacting through pair potentials with different functional forms. ...5 KB (743 words) - 22:57, 7 August 2024