Recent content by alexvas

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    Gross-Pitaevskii equation in Bose Einstein condensates

    Thanks for the response. I'd appreciate some clarification, if possible: 1) Why is the interaction of particles in low-density energy regions the only important interaction? Aren't (ideally) all the bosons in the same state, so all of the interactions are occurring at the ground state (which...
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    Gross-Pitaevskii equation in Bose Einstein condensates

    Hello, I was hoping someone might be able to give a approachable explination of the Gross-Pitaevskii equation. All the sources I've been able to find seem to concentrate on the derivation, and I don't have the physics background to follow. From what I understand, however, is that the GP...
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    Analytic continuation to find scattering bound states

    Hello, I am trying to understand the idea of using analytic continuation to find bound states in a scattering problem. What do the poles of the reflection coefficent have to do with bound states? In a problem that my quantum professor did in class (from a previous final), we looked at the 1D...
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    How Do You Draw a Doublet in a Young Diagram for SO(3)?

    "You don't have to remove the tracers" Do you mean the "hooks", Ie the number by which you divide the product of the numbers in the boxes? In this case, wouldn't two boxes on top of each other (in SU(2)) be a doublet rather than a singlet (a two in the top box and a one in the bottom box...
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    How Do You Draw a Doublet in a Young Diagram for SO(3)?

    Hmmmm, I have never used the Young Tableau to compute products of SU(2) spinors - I've only used it for SO(3) and SO(2). I've been told that the algebras of SO(3) and SU(2) are the same - but I presume that Young diagrams would have to be used differently? A singlet in SO(3) is three...
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    How Do You Draw a Doublet in a Young Diagram for SO(3)?

    Hello all! Clebsch-Gordon Coefficients tell us that in an SO(3) representation 3 x 2 = 4 + 2 (x/+ is the tensor product/sum). In practicing my Young Diagrams I tried to re-create this calcuation, but can't seem to figure out how to draw a doublet. I would appreciate some advice! (The triplet...
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    Pairing Energy/LFSE (Inorganic)

    I realize that this question was asked a long time ago, but I figured I would answer to help out future readers. When calculating the Ligand Field Stabilization Energy you have to take into account the stability you gain from orbitals decreasing in energy and the amount of energy it takes to...
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