Recent content by Fixxxer125

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    Non-trivial Topology: Definition & Explanation

    Thats very helpful, thanks!
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    Non-trivial Topology: Definition & Explanation

    Yea I was just hoping someone could explain it a bit nicer!
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    Non-trivial Topology: Definition & Explanation

    Hi there, I've come across the term 'non-trivial topology' or 'non-trivial surface states' when researching topological superconductors and really need a bit of help as to exactley what this means? I've tried google but no-one seems to give a definition? Many thanks for checking this out
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    How do I solve the eigenvalues equation for a 3x3 matrix?

    I can't even solve that 3x3 system, any chance of another pointer?
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    How do I solve the eigenvalues equation for a 3x3 matrix?

    Cheers, I'll give it a go, thanks for your help
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    How do I solve the eigenvalues equation for a 3x3 matrix?

    I don't massively understand, sorry! In lectures we have been told that there is a zero valued eigenvalue and I also know the corresponding eigenvalue. However I'm still unsure and don't really follow your method?
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    How do I solve the eigenvalues equation for a 3x3 matrix?

    With the 2x2 matrixies I am used to making det(A-λI)=0 to find the eigenvalues and then solving the Aγ=λγ equation to get the eigenvectors, can I not sue a similar method here?
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    How do I solve the eigenvalues equation for a 3x3 matrix?

    Homework Statement Find the eigenvalues of the following and the eigenvelctor which corresponds to the smallest eigenvalue Homework Equations I know how to find the eigenvalues and eigenvectors of a 2x2 matric but this one I'm not so sure so any help would be appreciated The...
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    Spin Orbit Coupling leading to topological insulator behaviour

    Hi I am studying how the spin orbit interaction in certain materials can lead to topological insulator effects and realize it has something to do with the effects of the SOC on the band structure of the material (Bi2Se3), possibly due to the inversion of the valence and conduction band but I...
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    Evaluating Integrals: Need Help Factorising Denominator

    sorry I don't really understand what you are saying!
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    Evaluating Integrals: Need Help Factorising Denominator

    Homework Statement Evaluate the integral Homework Equations I can substitute and thus end up with The Attempt at a Solution I then expand the denominator out and end up with 1/ However I then assume I need to factorise the top line of that fraction as this will be the...
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    Polar Coordinates to evaluate integrals

    Ah yes we have done that previously, I think I just need to do practise questions to bring all the theory together. Cheers
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    Polar Coordinates to evaluate integrals

    Have I done it correctly if I end up with a final answer of 2∏i(aZ02 + bZ0 + c) Thanks!
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    Polar Coordinates to evaluate integrals

    Homework Statement Use Polar coordinates to evaluate were C denotes the unit circle about a fixed point Z0 in the complex plane The Attempt at a Solution I've only used polar integrals to convert an integral in sin and cos into one in therms of z, find the residues and then use the...
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