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SPLIT-FIELD FINITE-DIFFERENCE TIME-DOMAIN SCHEME FOR KERR-TYPE NONLINEAR PERIODIC MEDIA Jorge Franc´
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... Figure 7.1: Ratio of the FDTD and exact phase speeds (c̃p /cp ) versus the discretization. Propagation in free space is assumed. Ideally the ratio would be unity for all discretizations. Courant numbers of 1/4, 1/2, and 3/4 are considered. Thus the phase speed in the FDTD grid is exactly what it is ...
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... simple situations. By "directly" we mean that the structural properties of a given sample are measured as precisely as possible (e. g. by transmission electron microscopy [OTC89], X-ray diffraction [Fle80], or scanning tunneling microscopy [LZY+ 98]) and predictions on the optical properties are mad ...
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... different origins to determine the potential energy of a rock.  No matter where the rock is, Amber’s value of Ug will be equal to Bill’s value plus 9.8 J.  If the rock moves, both will calculate exactly the same value for Ug.  In problems, only Ug has physical significance, not the value of Ug ...
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... common among humans, consider the model shown in Fig. P8.15b of a person bending forward to lift a 200-N object. The spine and upper body are represented as a uniform horizontal rod of weight 350 N, pivoted at the base of the spine. The erector spinalis muscle, attached at a point twothirds of the w ...
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... according to equation E = mc2 The examples are annihilation and pair production. 4. Momentum is another quantity which is preserved. Similar is angular momentum of an isolated system. 5. Conservation of Electric charge is a fundamental law of nature. 6. Later there was development of law of conserva ...
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... To get something moving, you do work on it, the result being kinetic energy. To get objects spinning also takes work, but what is the rotational equivalent of kinetic energy? Problem: in a rotating object, each bit of mass has the same angular speed , but different linear speed v. ...
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... the Conservation of Errors (Stroud), Conservation of Luck (Me?), and Entropy are always in effect and can be mitigated by planning but also can render planning useless. It should also be mentioned that where there’s a will there’s a way, you just have to wring it out of mother nature (Rick), explain ...
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... points of the second Brillouin zone). No sign of any instability breakdown is seen during the flow, which is a signature for a nonmagnetic ground state. This property along with the indication for a spin gap is also reflected in the spin-spin correlations [see the inset of Fig. 2(a)]. Our data show ...
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Theoretical and experimental justification for the Schrödinger equation

The theoretical and experimental justification for the Schrödinger equation motivates the discovery of the Schrödinger equation, the equation that describes the dynamics of nonrelativistic particles. The motivation uses photons, which are relativistic particles with dynamics determined by Maxwell's equations, as an analogue for all types of particles.This article is at a postgraduate level. For a more general introduction to the topic see Introduction to quantum mechanics.
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