SUSY
An abbreviation for Super-Symmetrical Quantum mechanics. Consider a QM system with Hamiltonian H and potential V(x) such that H |Ψ> = E |Ψ> We define a new Hamiltonian H1 in terms of potential V1(x) which is offset by the zero point energy so that: H1 |0> = 0 ie the enegy of the ground state of H1 is zero. We define this Hamiltonian in terms of generalized raising and lowering operators A and A dagger such that: H1 = A_dag A = (p^2/2m) + V1(x) A = (ip/root(2m)) + W'(x) Where W(x) is the super potential. The potential V1(x) can be constructed from the superpotential: V1(x) = W'(x)^2 - (ћ/root(2m))W"(x) If we know the H1 ground state Ψ_0(x) then we can derive: Ψ_0(x) ~ exp(-root(2m)W(x)/ћ) Which can be used to find the superpotential W(x) From this superpotential we can derive the partnerpotential V2(x) where: V2(x) = W'(x)^2 - (ћ/root(2m))W"(x) which has associated Hamiltonian H2 = A A_dag = (p^2/2m) + V2(x) This partner potential may allow H2 to have an eigenspectrum which is easier to find. Once this is found we can go from the nth energy level of H2 to the (n+1)th level of H1 by simply applying the A_dag operator. This means we can find the first excited state of H1 by applying A_dag to the ground state of H2. Note: I wrote this while in class and the prof was talking about some really complex shit I wasn't paying attention to so now I'm fucked for the exam next week. But sugondese amirite? At least we still got us a woodshed!
The Urban Dictionary Mug
God is still alive. The existence of this mug shows there is still faith that god is dead and is listening to us. God Bless,
Gay Label Adore this. Ordered for my husband, with the second definition on the back, about the gay filmmaker. Makes a nice discussion starter.
Top notch shipping and exactly what I hoped!!
Best mug i have ever purchased! Subscribe
I love it, but of course the definition Ichose for “Unicorn” is too long and gets cut off after “someone is remarkably attractive.” Is there any way to purchase a second mug that has the rest of the quote on it? They’d make a great set as a present. Please let me know. David Tillinghast dtilling480@gmail.com
"Turtle on my name". A tribute to the 50 odd years of misheard lyrics.
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I use black hobby paint & small brush to add recipient’s name to back of mug (which I requested be left blank - thank you!). This is a terrific gift for hard-to-buy-for slightly warped friends! BG
good mug but why does it sometimes say creepy things to me kinda sus ngl
up ya bum
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Wowzers
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Great quality, although a high price for a mug! Printed really nicely and came out really well. $30 worth the laugh.
High quality finish
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