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searching for Separation of variables 36 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

Dupin cyclide (4,601 words) [view diff] exact match in snippet view article find links to article

class of quartic surfaces which are important in the theory of separation of variables for the Laplace equation in three dimensions. Dupin cyclides were

Web (differential geometry) (495 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 on a Riemannian

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 (382 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 ]

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

Biharmonic equation (822 words) [view diff] exact match in snippet view article find links to article

^{2}\varphi }{\partial \theta ^{2}}}=0} which can be solved by separation of variables. The result is the Michell solution. The general solution to the

Gaudin model (2,130 words) [view diff] exact match in snippet view article find links to article

of solution, including Algebraic Bethe ansatz, used by Gaudin Separation of variables, used by Sklyanin Correlation functions/opers, using a method described

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

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

Action (physics) (3,005 words) [view diff] exact match in snippet view article

the Hamilton–Jacobi equation can be solved with the additive separation of variables:: 225 S ( q 1 , … , q N , t ) = W ( q 1 , … , q N ) − E ⋅ t ,

Tullio Levi-Civita (1,950 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

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 (1,084 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 (3,508 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

N-sphere (7,338 words) [view diff] exact match in snippet view article find links to article

CS1 maint: postscript (link) Kalnins, E. G.; Miller, W. (1986). "Separation of variables on n-dimensionsional Riemannian manifolds. I. the n-sphere S_n

Quantum LC circuit (6,688 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 +

Quantum LC circuit (6,688 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 (7,874 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

Bessel function (12,228 words) [view diff] exact match in snippet view article find links to article

When solving the Helmholtz equation in spherical coordinates by separation of variables, the radial equation has the form x 2 d 2 y d x 2 + 2 x d y d x

Laguerre polynomials (6,005 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 (977 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

Function of several complex variables (17,717 words) [view diff] exact match in snippet view article find links to article

mapping theorem does not hold, and also, polydisks was possible to separation of variables, but it doesn't always hold for any domain. Therefore, in order