Recent content by sleventh

Thank you this helps and gives me material to work off of. Another question though: will the Yukawa potential exhibit a similar potential distribution as the higgs potential?

Hello, I am trying to shortly explain how the Yukowa potential breaks symmetry in weak interactions. I would like to use the mexican hat potential as a specific example. Unfortunately Wikipedia does not go very in depth or explain it very well. Link. Any help on understanding the collapse of...

Hello, "What does the correspondence theorem tell us about ideals in Z[x] that contain x^{2} + 1? My thinking is that since Z[x]/(x^{2} + 1) is surjective map and its kernel is principle and generated by x^{2} + 1 since x^{2} + 1 is irreducible. This implies ideals that contain x^{2} + 1 are...

I sent him an email giving thanks, implying I am happy and grateful to be first author. Luckily I would enjoy doing most of the work :)

Hello all, I am an undergraduate studying physics and have recently began working with a professor on two papers we hope to publish. He has said he would "be happy to make [me] first author on both". I am very new to the social dynamics of how student/professor/professional academia should...

I am wondering what are the possible homomorphisms \tau : Z\overline{+} -> Z\overline{+} From this it should be possible to determine which is injective, surjective, and which are isomorphic. Homomorphisms between Z plus to Z plus will all be of the form \tau(x) = nx since \tau(x) =...

oh my, that got me micromass haha :)

It is also possible to use the symmetry of the well and the parady of the solution to find the last criteria needed to show c = d after finding ψ=Ce−kx+De2kae−kxx>a ψ=Ce−kx+Dekx−a<x<a ψ=Ce2kae−kx+Dekxx<−a you can then use the property of the delta function that lim_{b->0} of...

the wave function solutions of the Schrödinger equation for any system are solutions in a "state space" within the Hilbert Space. The Hilbert space is a space where the elements of the space are solutions to the wave equation (where the operation is just the inner product). A state of a quantum...

Excellent. Thank you very much :)

right, this is why I have been using the r, s notation. But I am still unsure how to tell if a subgroup is normal.

ah, right. Is the last r^3s?

there must be 8 because we have four sides and four rations, by each rotation acts on 2 sides. { r, r^2, r^3, r^4, s, s^2, rs, r^2s}

s^2 because it's the identity. I'm hesitant to say s because if you perform one reflection on s, so rs = s' then the reflections of s' will not be able to return to s by reflection.

i am not quite sure, but my best guess would be r^2 because by any reflection of number if rotations you will be able to return to r^2, for the same reason r, and r^4. Is this correct? also, why is it that index 2 groups are normal?