Recent content by Final ansatz
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Graduate Fractional power equation. Solution domain.
Thanks for your reply and your kind welcome chiro. I agree that your suggestion is a good way to qualitatively understand the origin of the problems - and it's clear that the issue becomes significantly more complicated when \epsilon \neq 1. I would however still be very interested in any...- Final ansatz
- Post #3
- Forum: Differential Equations
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Graduate Fractional power equation. Solution domain.
Hi everyone, I'm currently looking to solve an equation of the general form: \sqrt{x^2-y^2}+\sqrt{\epsilon x^2-y^2} = \beta. I'm interested in solving this equation for x assuming y>0, \epsilon>1 and \beta \in \mathbb{C}. By squaring the equation twice I can find four potential solutions of...- Final ansatz
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- Domain fractional Power
- Replies: 4
- Forum: Differential Equations
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Graduate Density matrix elements, momentum basis, second quantization
Thank you both a ton - your help is very much appreciated. Just couldn't get that bit right! Thanks a lot, this has saved my week :).- Final ansatz
- Post #6
- Forum: Quantum Physics
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Graduate Density matrix elements, momentum basis, second quantization
Thanks for your reply Neumaier! Sadly, after having considered your suggestion for some time, I remain stuck with the same predicament as before. I must be confusing something basic. My intention with using \varrho for the density matrix and \rho for particle density operator, was that, in...- Final ansatz
- Post #3
- Forum: Quantum Physics
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Graduate Density matrix elements, momentum basis, second quantization
Hello everyone, I'm having some trouble, that I was hoping someone here could assist me with. I do hope that I have started the topic in an appropriate subforum - please redirect me otherwise. Specifically, I'm having a hard time understanding the matrix elements of the density matrix...- Final ansatz
- Thread
- Basis Density Density matrix Elements Matrix Momentum Quantization Second quantization
- Replies: 5
- Forum: Quantum Physics