josh
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 Jan 26 awarded Yearling Jun 29 comment Discontinuity of paths in phase space path integrals Do you know anything about the class of paths arising in the $m = 0$ case? I.e., is it some sort of Levy process, and the trick of adding a mass and taking a limit at the end is unnecessary if I know how to integrate against such a stochastic process? Jun 29 comment Discontinuity of paths in phase space path integrals This is exactly what Klauder & Daubechies do, but instead of thinking of $m$ as a mass, the call it $1/\nu$ and consider $\nu$ to be a diffusion constant. Then the "ultradiffusive" limit of these Wiener processes gives the coherent state path integral. Jun 29 asked Discontinuity of paths in phase space path integrals Apr 12 awarded Good Answer Jan 26 awarded Yearling Jan 26 awarded Yearling Jan 18 comment Entropic force in rubber bands Yep,those forces also arise from entropy maximization at finite temperature. Jan 16 answered Entropic force in rubber bands Jun 9 comment What do up-left orthogonality has in common with up-down and what is their relationship? Please reread my earlier comments. Jun 9 comment What do up-left orthogonality has in common with up-down and what is their relationship? Linear algebra is a common framework. A Hilbert space is an inner product space. The link is mathematical, not physical. Jun 9 comment What do up-left orthogonality has in common with up-down and what is their relationship? To further clarify, consider instead the quantum states of a simple massive spinless particle in a box. The physical space has no vectors to speak of, and so there is no orthogonality in their spatial configurations to worry about. But the Hilbert space of states (ground state, first excited state, etc.) still admits a notion of orthogonality. It is that sense of orthogonality that applies to the spin configurations you ask about too. Jun 9 comment What do up-left orthogonality has in common with up-down and what is their relationship? You misunderstand in which space these are orthogonal. Up and down spin configurations are orthogonal in the Hilbert space of states. Yes, this Hilbert space is describing the possible configurations of a vector (or spinor) in physical space, and there is also a notion of orthogonality in that space, but it is in the Hilbert space of states where up and down spin configurations are considered orthogonal. Does that help? Jun 7 answered what is the combined partition function of two similar but independent systems? Jun 7 comment Physics of donut magnets levitating vertically on a pencil? Here's a related question: consider a chain (or any other rope whose linear mass density is non-negligible) suspended from the ceiling with lower end free. What is the tension on this chain as a function of the distance from the ceiling? Mar 21 awarded Enlightened Mar 21 awarded Nice Answer Feb 6 accepted Low-energy gluodynamics as a string Jan 26 awarded Yearling Oct 5 revised Scale invariance symmetry as a simple argument in an electrostatics problem deleted 17 characters in body