vector fields in electrodynamics – a reason for reexamining the structural foundations of classical field physics?”, Modern Nonlinear Optics - Reed, “Beltrami - 2001 () Citation Context ... helical eigen-fun
Vector Fields:Vector fields are a way of visually representing equations that govern forces or other directional quantities as their properties change over a given space. The vectors within a given field represent how an object placed in the field will behave at any given location. Objects will ...
"Vector Fields." §1.2 in Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 8-21, 1953. Referenced on Wolfram|AlphaVector Field Cite this as:Weisstein, Eric W. "Vector Field." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/VectorField.html ...
Quantum PhysicsFree vector fields, satisfying the Lorenz condition, are investigated in details in the momentum picture of motion in Lagrangian quantum field theory. The field equations are equivalently written in terms of creation and annihilation operators and on their base the commutation relations ...
The coherent exchange of optical near fields between two neighbouring dipoles plays an essential role in the optical properties, quantum dynamics and thus the function of many naturally occurring and artificial nanosystems. These interactions are challenging to quantify experimentally. They extend over only...
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The Berry phase has been discovered already in 19841 but only in the last two decades, this concept found its way into the solid state physics. It ignited the search for topological properties of electrons in solids and resulted in several novel discoveries in various fields. It found success ...
One example of a space vector is the rotating magnetic field as mentioned in Chapter 3. The rotating magnetic field is identical to the space vector of magnetic fields produced by currents flowing in three-phase windings. Example 2 Find the space vector representation of three-phase voltages as...
In a previous paper “Fields of totally isotropic subspaces and almost complex structures” [1c], we constructed on the sphere S4, in the complexified tangent bundle, a global field of totally isotropic planes to obtain a counterexample nullifying a statement about some manifolds and vector bundle...
Visual representation of scalar and vector fields using Numpy's contour and quiver functions. Comparison of vector field computed using Numpy's gradient function with the same vector field plotted using analytically deduced expressions for the gradient. Wrote a program for plotting vector field arrows ...