Explicit and exact solutions concerning the Antarctic Circumpolar Current with variable density in spherical coordinates
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5120627
Abstract: We use spherical coordinates to devise a new exact solution to the governing equations of geophysical fluid dynamics for an inviscid and incompressible fluid with a general density distribution and subjected to forcing terms. The… read more here.
Keywords: circumpolar current; free surface; geometry; antarctic circumpolar ... See more keywords
Converting translation operators into plane polar and spherical coordinates and their use in determining quantum-mechanical wavefunctions in a representation-independent fashion
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0021013
Abstract: Quantum mechanics is often developed in the position representation, but this is not necessary, and one can perform calculations in a representation-independent fashion, even for wavefunctions. In this work, we illustrate how one can determine… read more here.
Keywords: independent fashion; quantum; polar spherical; plane polar ... See more keywords
Numerical relativity in spherical coordinates with the Einstein Toolkit
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review D"
DOI: 10.1103/physrevd.97.084059
Abstract: Numerical relativity codes that do not make assumptions on spatial symmetries most commonly adopt Cartesian coordinates. While these coordinates have many attractive features, spherical coordinates are much better suited to take advantage of approximate symmetries… read more here.
Keywords: numerical relativity; coordinates einstein; relativity spherical; spherical coordinates ... See more keywords
Sparse magnetic vector inversion in spherical coordinates
Sign Up to like & getrecommendations! Published in 2020 at "Geophysics"
DOI: 10.1190/geo2019-0244.1
Abstract: Magnetic vector inversion (MVI) has received considerable attention over recent years for processing magnetic field data that are affected by remanent magnetization. However, the magnetization models obtained with current inversion algorithms are generally too smooth… read more here.
Keywords: inversion; magnetic vector; vector inversion; spherical coordinates ... See more keywords