Arbitrary Conformal Transformations of Wave Functions

A Characterization of the Infinitesimal Conformal Transformations on Tangent Bundles

Analysis of Rectangular Folded-Waveguide Millimeter-Wave Slow-wave Structures using Conformal Transformations

An analysis of rectangular folded-waveguide slow-wave structure was developed using conformal mapping technique through Schwarz’s polygon transformation and closed form expressions for the lumped capacitance and inductance per period of the slow-wave structure were derived in terms of the physical dimensions of the structure, incorporating the effects of the beam hole in the lumped parameters. ...

Continuity of super- and sub-additive transformations of continuous functions

We prove a continuity inheritance property for super- and sub-additive transformations of non-negative continuous multivariate functions defined on the domain of all non-negative points and vanishing at the origin. As a corollary of this result we obtain that super- and sub-additive transformations of continuous aggregation functions are again continuous aggregation functions.

2.1.1 Conformal Transformations......................... 6

Conformal transformations of vesicle shapes

Vesicles are closed surfaces of lipid bilayers, which form already in simple binary systems of one lipid species plus water [IJ. Studies by video microscopy reveal an amazing variety of shapes, between which transformations can be induced, e.g., by changing the temperature or the osmotic conditions [2-4]. Such experiments confirm the basic theoretical idea that the bending elasticity of the bil...