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
I ordered a customized mug for my gf and everything came out well. There were no autocorrect mistakes and the mug was unscratched. Would shop here again
Also got one for Cole M.'s girlfriend, even faster sex.
Istgd imma force my mum to buy this idek hw i find out but this shit looks fucking fire
Perfect coffee cup for a hockey fan. Great conversation starter.
Perfect gift! My husband loved it. So funny and clever!
Great mug… got one for my girlfriend… instant sex
As always, these are well made mugs that stand up to most anything. And they make perfect gifts (in this case for dirty-minded members of a wedding party). I’m extremely pleased.
Is a great mug that I purchased as a gag gift for a coworker. You know the one who also as interesting words/phrases that only urban dictionary can explain. Great as a coffee mug and better as conversation piece!
👍
The mug exceeded my expectations. Really excellent quality and build
Jim, you’re a fucking idiot interfering with accurate ratings and legitimate feedback. Get a hobby.
Great gift!
A little spendy, but worth it.
My wife kept talking about "ways out" being a Denver version of "psych" and she was right, so I got her this once I found it on UD. She loved it!
It's a great mug, will reccomend to family members my grandma gave me this mug for christmas and it was by far the best gift i got.
It arrived three weeks after ordering but given the holiday rush and inability of shipping to keep on schedule arrived late but was perfect little gift from me to my wife for her morning coffee with her "nickname" on the mug.
I liked the photo on your website and so I ordered the mug. You sent it right away, and it looks great!
Arrived carefully packaged
me and the boys when i get vodka mug
I ordered 3 of your mugs, with different names on them. There was a typo in the information about the name on the back of each of the mugs. This wasn’t a dealbreaker because the people who received them liked them. However, it would be nice if somebody who has basic proficiency in spelling English words could proofread the script for all of your names before they’re prepared.
Review Details
Pro Customization
Create unique products with your own words and definitions
Live Preview
Personalize Your Design
Debug: Product Metadata
| Key | Value (click to copy) |
|---|---|
Copied! |
Return Policy
Made Just For You
Each product is custom-printed with your unique text, making it truly one-of-a-kind.
Defect-Free Guarantee
If your product arrives with printing defects, damage, or quality issues, we'll send you a free replacement.
Custom Orders
Due to the personalized nature of your order, we don't accept returns for change of mind or sizing issues.
Questions about your order? Contact our support team for assistance.