Search results for "Elliptic functions"

showing 3 items of 13 documents

Holder continuity of solutions for a class of nonlinear elliptic variational inequalities of high order

2001

Variational inequalityWeight functionClass (set theory)Quarter periodHigher-order equationApplied MathematicsMathematical analysisNonlinear degenerate elliptic equation Higher-order equation Variational inequality Weight function;Hölder conditionNonlinear degenerate elliptic equationJacobi elliptic functionsNonlinear systemWeight functionElliptic partial differential equationVariational inequalityAnalysisMathematics
researchProduct

Octupolar excitation of ion motion in a Penning trap: A theoretical study

2014

Abstract High-precision Penning-trap mass spectrometry uses the resonant conversion of the magnetron motional mode into the cyclotron motional mode to determine the cyclotron frequency of the ions under investigation. Usually the conversion process is performed by interaction of the ions with external quadrupolar rf-fields. Recently it was found that conversion by means of octupolar rf-fields entails a tremendous increase in mass resolution and is thus of great interest. However, the conversion results depend in an intricate way on the amplitudes and phases of the octupolar rf-field and of the motional modes of the ions. Experimental progress was hampered by the lack of an underlying theory…

Vector operatorChemistryDifferential equationEquations of motionExpectation valueCondensed Matter PhysicsJacobi elliptic functionssymbols.namesakeQuantum electrodynamicsQuantum mechanicssymbolsPhysical and Theoretical ChemistryHamiltonian (quantum mechanics)InstrumentationSpectroscopyExcitationIon cyclotron resonanceInternational Journal of Mass Spectrometry
researchProduct

Injectivity domain of ellipsoid of revolution. The oblate case.

2010

Study of the convexity of the injectivity domains on an oblate ellipsoid.

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]Injectivity domainOblate ellipsoidElliptic functions[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]53C20
researchProduct