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Creating the Particle Flow
Creating the Particle Flow

Statistical Physics (PHY831): Part 3 - Interacting systems
Statistical Physics (PHY831): Part 3 - Interacting systems

... topology of the phase diagram. However the critical behavior that it predicts is often not correct in low dimensions. The theory of phase transitions and critical phenomena has several important concepts that we have looked at before but it is worth stating again: - There is a lower critical dimensi ...
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... The rudiments of this subject are, of course, treated in every introductory quantum text,1 but closer examination turns up a number of subtleties and complications, and exposes a variety of methodological options, to which I will draw attention. I borrow freely from some informal notes2 which were w ...
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Chapter 09 Center of Mass and Linear Momentum

Field Theory on Curved Noncommutative Spacetimes
Field Theory on Curved Noncommutative Spacetimes

... to address physical applications like QFT in a NC early universe or on a NC black hole background, a formulation which can be extended to curved spaces has to be developed. For globally hyperbolic spacetimes deformed by a large class of Drinfel’d twists (in particular including the RJS twists (2.5)) ...
Transverse bending waves and the breaking broomstick
Transverse bending waves and the breaking broomstick

... shorter. Frequency depends very strongly on wavelength, as can be seen from the dispersion relation: v}k 2 }~wavelength!22. IV. DERIVATION OF WAVE EQUATION The model used here can be extended to derive the wave equation for transverse bending modes. My derivation is similar to that of Crawford5 in t ...
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What Every Physicist Should Know About String Theory

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Negative energy densities in integrable quantum field theories at

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Tensor Networks, Quantum Error Correction, and

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... is not arbitrary, and that it is not determined by initial conditions, unlike the constants A, B, and C in the previous analysis. When ω < ωo , A' is positive and the forced oscillation is in phase with the driving force; the two have the same sign at each instant. When ω > ωo , A' is negative, and ...
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... resistive force FR Consider a particle of mass m acted upon by an applied force FA and a resistive force FR. The resistive force FR is one that opposes the motion, i.e., the direction of the resistive force FR is opposite to the velocity v of the particle. For one-dimensional motion, the direction o ...
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... been measured or calculated. All levels in the total spectrum having the same quantum numbers form one particular subspectrum. Its energy levels are at positions xn , n = 1, 2, . . . , N , say. We assume that N , the number of levels in this subspectrum, is large. With a proper smoothing procedure, ...
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An introduction to rigorous formulations of quantum field theory

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... Here m1 and m2 represents the masses of point particles while r represents the distance between them. G is called the universal gravitational constant. Newton has also proved a theorem which states that a thin spherical shell of uniform mass distribution gravitationally interacts with its outer regi ...
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Relativistic quantum mechanics

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