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Thermal Physics Final Exam Physics 410 - 2003
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... without derivation; the gas does not have to be monatomic) (10 pt) 4. Consider a photon gas in a very thin cavity, so that this gas may be supposed to be two-dimensional. Assume that electromagnetic waves in the cavity have only one polarization and that the area of the cavity is A. Find the energy ...
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... Therefore we accept the way in which the De Broglie relation is usually taught, but we claim that, in a later stage, the relation should be revisited in a full relativistic framework, such as the one pedagogically presented in this paper. For instance, in a second course in electromagnetism or in qu ...
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... h = g b B + D (2Sz –1)  gn bn B + ½ (Azz  2P) (2Iz – 1)  ½ Azz (2Sz – 1) Main lines occur at h = g b B + D (2Sz –1) + AzzIz Depending on the number of interacting neighbours, complexities increase. ...
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... V  hcDe 1  e  a ( R  Re ) ...
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... a French mathematician who did research on number theory, quadratic forms, invariant theory, orthogonal polynomials, elliptic functions, and algebra. Hermite polynomials, Hermite normal form, Hermitian operators, and cubic Hermite splines are named in his honor. • He was the first to prove that e, t ...
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... application to quantum-mechanical systems. The first is the non-equivalence in quantum mechanics of the replacements equation (4) and equation (5). Although p and −i∂/∂x are operators in Hilbert space, whose expectation value gives the momentum, and H is also such an operator whose expectation value ...
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... A thought experiment for viewing an electron with a powerful microscope In order to see the electron, at least one photon must bounce off it During this interaction, momentum is transferred from the photon to the electron Therefore, the light that allows you to accurately locate the electron changes ...
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... field in very many ways, essentially, since the electromagnetic field has very many degrees of freedom, the electric and magnetic fields at each point of space. Since a priori all these possibilities are equally probable, it is entropically favorable for the quantum of energy to be in the vacuum ele ...
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Relativistic quantum mechanics

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