Top definition
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!
Guy one: Look at that physicist fuck over there doing SUSY.

Guy two: Damn straight brother I hear SUSY sucks a lot.

Guy one: Hell yeah she does!
by Migdal Kadanoff April 26, 2019
Get the mug
Get a SUSY mug for your barber Manafort.
Apr 13 Word of the Day
A person who gets the vaccine and and flaunts it will high end shopping, trips, and parties
Once Lisa got the vax she turned into such a vaxinista
by M. Wolly March 23, 2021
Get the mug
Get a vaxinista mug for your grandma Nathalie.
When you see a girl that you are just like know her name must be Susy, right?
by stupyfuckhead February 26, 2003
Get the mug
Get a Susy mug for your barber Trump.
a girl who likes lolipops. she is in my math class and is VERY talkative. she likes nachos.
by adrian sosa December 17, 2003
Get the merch
Get the Susy neck gaiter and mug.