Chapter: Transformation Properties of Vector and Tensor Components

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Home > Flux Coordinates and Magnetic Field Structure: A Guide to a Fundamental Tool of Plasma Theory > Transformation Properties of Vector and Tensor Components

Flux Coordinates and Magnetic Field Structure: A Guide to a Fundamental Tool of Plasma Theory |

Springer Berlin Heidelberg

Transformation Properties of Vector and Tensor Components

Chapter Info

Authors

William Denis D’haeseleer; William Nicholas Guy Hitchon; James D. Callen; J. Leon Shohet

ARI Id

1664535098143_2089152

Access

Not Available Free

Pages

204-210

DOI

10.1007/978-3-642-75595-8_13

Chapter URL

https://rd.springer.com/chapter/10.1007/978-3-642-75595-8_13

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Chapters/Headings	Author(s)	Pages	Info
Front Matter		I-XII
Introduction and Overview	William Denis D’haeseleer; William Nicholas Guy Hitchon; James D. Callen; J. Leon Shohet	1-3
Front Matter		5-6
Vector Algebra and Analysis in Curvilinear Coordinates	William Denis D’haeseleer; William Nicholas Guy Hitchon; James D. Callen; J. Leon Shohet	7-39
Tensorial Objects	William Denis D’haeseleer; William Nicholas Guy Hitchon; James D. Callen; J. Leon Shohet	40-54
Magnetic-Field-Structure-Related Concepts	William Denis D’haeseleer; William Nicholas Guy Hitchon; James D. Callen; J. Leon Shohet	55-96
Front Matter		97-99
The Clebsch-Type Coordinate Systems	William Denis D’haeseleer; William Nicholas Guy Hitchon; James D. Callen; J. Leon Shohet	100-115
Toroidal Flux Coordinates	William Denis D’haeseleer; William Nicholas Guy Hitchon; James D. Callen; J. Leon Shohet	116-155
Conversion from Clebsch Coordinates to Toroidal Flux Coordinates	William Denis D’haeseleer; William Nicholas Guy Hitchon; James D. Callen; J. Leon Shohet	156-159
Establishment of the Flux-Coordinate Transformation; A Summary	William Denis D’haeseleer; William Nicholas Guy Hitchon; James D. Callen; J. Leon Shohet	160-164
Canonical Coordinates or “Generalized Magnetic Coordinates”	William Denis D’haeseleer; William Nicholas Guy Hitchon; James D. Callen; J. Leon Shohet	165-175
Front Matter		177-178
“Proper” Toroidal Coordinates	William Denis D’haeseleer; William Nicholas Guy Hitchon; James D. Callen; J. Leon Shohet	179-185
The Dynamic Equilibrium of an Ideal Tokamak Plasma	William Denis D’haeseleer; William Nicholas Guy Hitchon; James D. Callen; J. Leon Shohet	186-200
The Relationship Between ∫dl/B and dV/dΨtor	William Denis D’haeseleer; William Nicholas Guy Hitchon; James D. Callen; J. Leon Shohet	201-203
Transformation Properties of Vector and Tensor Components	William Denis D’haeseleer; William Nicholas Guy Hitchon; James D. Callen; J. Leon Shohet	204-210
Alternative Derivations of the Divergence Formula	William Denis D’haeseleer; William Nicholas Guy Hitchon; James D. Callen; J. Leon Shohet	211-214
Back Matter		215-241
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