14 Jun 2024
for the original variables. #differentialEquations #separationOfVariables"… (replied by Node-GB23)
23
4 Jun 2024
👉 Closed-form solutions to nonlinear PDEs
Blog post by @JohnDCook
#ExactSolutions #PDEs #OPSF #integrablesystems #computeralgebra #SeparationofVariables #symmetries #ConservationLaws
johndcook.com/blog/2024/04/2…
1
2
72
#FridayEasyRead tip: the @PhysicsToday essay by Michael V. Berry (of Berry phase renown) discussing #SpecialFunctions, #DLMF @NIST dlmf.nist.gov, etc
#ODEs #PDEs #ExactSolutions #NumericalMethods #SeparationofVariables #HypergeometricFunctions physicstoday.scitation.org/d…
5
20
2,523
📢 OP-SF NET, the newsletter of @TheSIAMNews Activity Group on Orthogonal Polynomials and Special Functions (SIAG/OPSF) including the archive
staff.fnwi.uva.nl/t.h.koornw…
#math #ODEs #exactsolvability #exactlysolvable #quantum #physics #dynsys #exactsolutions #separationofvariables
2
2
19 Jun 2022
13) The quantum system for a particle in a central potential V(r) is described by the Hamiltonian, the square of the angular momentum operator and its z-component. Schrödinger's equation is solved with separation of variables.
#CoulombPotential #SeparationOfVariables
4
12 Jun 2022
4) In Schrödinger's equation the Hamilton operator H acts on the wave function of the quantum system.
Separation of variables with the energy E gives the stationary time-independent Schrödinger equation.
#HamiltonOperator #SchroedingerEquation #SeparationOfVariables
1
9
Forthcoming @routledgebooks book
Separation of Variables and Exact Solutions to Nonlinear PDEs
routledge.com/Separation-of-…
#PDEs #separationofvariables #exactsolutions
2
3
BTW, it could be of interest to you in this connection that recently nontrivial links among #algebraicgeometry & #separationofvariables were uncovered, see the works of Schöbel e.g. arxiv.org/abs/1510.09028 and his thesis published as a @SpringerMath book doi.org/10.1007/978-3-658-11…
1
2
Oldies but Goldies: the #book Symmetry and Separation of Variables by W. Miller, Jr. is #free to download from the author's page www-users.math.umn.edu/~mill…
#symmetries #quantum #integrablesystems #separationofvariables #exactlysolvable #PDEs #Schrödingerequation #openaccess #scicomm
4
4
New #book by E. Kalnins, J. Kress & W. Miller #SeparationofVariables and #Superintegrability doi.org/10.1088/978-0-7503-1… @IOPscience amazon.com/dp/B07FR4NX1K/ @amazon (#integrablesystems #integrals #Hamiltonians #conservationlaws #mathematicalphysics #symmetries #symmetry #physics )
2
