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searching for Separation of variables 29 found (184 total)

Evgeny Sklyanin (307 words) [view diff] exact match in snippet view article find links to article

contributions are in the theory of quantum integrable systems, separation of variables, special functions. He graduated from the Department of Physics

Spacetime triangle diagram technique (2,908 words) [view diff] exact match in snippet view article find links to article

(STTD) technique, also known as the Smirnov method of incomplete separation of variables, is the direct space-time domain method for electromagnetic and

Web (differential geometry) (450 words) [view diff] exact match in snippet view article

characterization in terms of Riemannian geometry of the additive separation of variables in the Hamilton–Jacobi equation. An orthogonal web (also called

Vladimir Smirnov (mathematician) (349 words) [view diff] exact match in snippet view article

Victor Borisov (also known as the Smirnov method of incomplete separation of variables). Smirnov was a Ph.D. student of Vladimir Steklov. Among his notable

Atmospheric tide (3,241 words) [view diff] no match in snippet view article find links to article

Atmospheric tides are global-scale periodic oscillations of the atmosphere. In many ways they are analogous to ocean tides. They can be excited by: The

Niky Kamran (390 words) [view diff] case mismatch in snippet view article find links to article

Waterloo; his dissertation, titled Contributions to the Study of the Separation of Variables and Symmetry Operators for Relativistic Wave Equations on Curved

Oblate spheroidal wave function (1,395 words) [view diff] exact match in snippet view article find links to article

0 {\displaystyle \Delta \Phi +k^{2}\Phi =0} , by the method of separation of variables, ( ξ , η , φ ) {\displaystyle (\xi ,\eta ,\varphi )} , with:

Reversible reaction (894 words) [view diff] exact match in snippet view article find links to article

{d[A]}{dt}}=-k_{\text{1}}[A]+k_{\text{-1}}([A]_{\text{0}}-[A])} . Separation of variables is possible and using an initial value [ A ] ( t = 0 ) = [ A ]

Variance-stabilizing transformation (869 words) [view diff] exact match in snippet view article find links to article

{C}{\sqrt {h(\mu )}}}} This ordinary differential equation has, by separation of variables, the following solution: g ( μ ) = ∫ C d μ h ( μ ) {\displaystyle

Time-translation symmetry (1,054 words) [view diff] exact match in snippet view article find links to article

integration of a (partial) differential equation by the method of separation of variables or by Lie algebraic methods is intimately connected with the existence

Potential theory (1,326 words) [view diff] exact match in snippet view article find links to article

obtains the solutions of the Laplace equation which arise from separation of variables such as spherical harmonic solutions and Fourier series. By taking

Ince equation (299 words) [view diff] exact match in snippet view article find links to article

C. P.; Kalnins, E. G.; Miller, W. Jr. (1975), "Lie theory and separation of variables. VII. The harmonic oscillator in elliptic coordinates and Ince

Log-polar coordinates (1,661 words) [view diff] exact match in snippet view article find links to article

rotational symmetry, the usual thing to do is to use the method of separation of variables for partial differential equations for Laplace's equation in polar

Tullio Levi-Civita (1,963 words) [view diff] exact match in snippet view article find links to article

variabili" [On the integration of the Hamilton-Jacobi equation by separation of variables], Mathematische Annalen (in Italian), 59 (3): 383–397, doi:10.1007/bf01445149

Action (physics) (2,997 words) [view diff] exact match in snippet view article

the Hamilton–Jacobi equation can be solved with the additive separation of variables: S ( q 1 , … , q N , t ) = W ( q 1 , … , q N ) − E ⋅ t , {\displaystyle

Diffusion-controlled reaction (1,364 words) [view diff] exact match in snippet view article find links to article

r → ∞ {\displaystyle r\rightarrow \infty } , we can solve 5 by separation of variables, we get 6. ∫ R A B ∞ d r k [ B ] exp ⁡ ( U ( r ) / k B T ) 4 π

Newton's law of cooling (2,860 words) [view diff] exact match in snippet view article find links to article

{\displaystyle ^{-1}} ). Solving the initial-value problem using separation of variables gives T ( t ) = T env + ( T ( 0 ) − T env ) e − r t . {\displaystyle

T-matrix method (1,092 words) [view diff] exact match in snippet view article find links to article

implementation of the invariant imbedding T-matrix method and the separation of variables method applied to large nonspherical inhomogeneous particles".

Andrei Polyanin (659 words) [view diff] exact match in snippet view article find links to article

sciences, including the methods of generalized and functional separation of variables, discrete group approach, functional constraints method, asymptotic

Prolate spheroidal wave function (2,117 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \nabla ^{2}\Phi +k^{2}\Phi =0} , by the method of separation of variables in prolate spheroidal coordinates, ( ξ , η , φ ) {\displaystyle

Schrödinger–Newton equation (3,504 words) [view diff] exact match in snippet view article find links to article

stationary equation, which can be obtained in the usual manner via a separation of variables, possesses an infinite family of normalisable solutions of which

Gail Letzter (851 words) [view diff] case mismatch in snippet view article find links to article

(see Math Review 1262429 [1]) Joseph, A.; Letzter, G. (1994). "Separation of Variables for Quantized Enveloping Algebras". American Journal of Mathematics

Quantum harmonic oscillator (6,952 words) [view diff] exact match in snippet view article find links to article

three-dimensional harmonic oscillator can be solved explicitly by separation of variables. This procedure is analogous to the separation performed in the

Burke–Schumann flame (1,736 words) [view diff] exact match in snippet view article find links to article

Z}{\partial \xi }}=0.\end{aligned}}} The equation can be solved by separation of variables Z ( ξ , η ) = c 2 + 2 c ∑ n = 1 ∞ 1 λ n J 1 ( c λ n ) J 0 2 ( λ

Quantum LC circuit (6,696 words) [view diff] case mismatch in snippet view article find links to article

"Center-of-Mass"), the above Hamiltonian can be solved using the Separation of Variables technique. The CM coordinate is as seen below: Q c = L 1 Q 1 +

Timeline of mathematics (7,870 words) [view diff] exact match in snippet view article find links to article

elimination theory. 1691 – Gottfried Leibniz discovers the technique of separation of variables for ordinary differential equations. 1693 – Edmund Halley prepares

Knizhnik–Zamolodchikov equations (3,059 words) [view diff] exact match in snippet view article find links to article

{sl}}(2)} , the KZ equations are mapped to BPZ equations by Sklyanin's separation of variables for the s l ( 2 ) {\displaystyle {\mathfrak {sl}}(2)} Gaudin model

Laguerre polynomials (8,523 words) [view diff] exact match in snippet view article find links to article

Schrödinger equation for the hydrogen-like atom is exactly solvable by separation of variables in spherical coordinates. The radial part of the wave function

Heinz Otto Cordes (983 words) [view diff] exact match in snippet view article find links to article

is entitled Separation von Variablen in Hilbertschen Raumen (Separation of variables in Hilbert spaces). Cordes held a junior academic appointment at