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phys487 midterm1
UIUC phys487 w/ beck
14
Physics
Undergraduate 4
02/19/2020
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Term
Evaluate {f0|H|i0> ({=<))
 Definition
{f0|x'>{x'|H|x>{x|i0>
Term
TDSE
 Definition
i(hbar) d/dt |Psi> = H(t) |Psi>
Term
|Psi> = (use dn)
 Definition
[image]
Term
wfn =
 Definition
[image]
Term
df =
 Definition
[image]
Term
Sudden Perturbation
 Definition
Instant H change, no Psi change
Term
Adiabatic Perturbation
 Definition
Hamiltonian changes slowly, "status" doesn't change. (ex ground state H0, then ground state of H0 + H1)
Term
Periodic Perturbation
 Definition
H1(t) = H1*e^-(iwt)

Leads to golden rule
Term
P(i->f) =
 Definition
|d|^2
Term
Fermis golden rule
 Definition
one energy eigenstate of a quantum system to a group of energy eigenstates

[image]
Term
(U+)(U)
 Definition
Identity
Term
Born Approximation
 Definition
[image]
Term
q^2 =
 Definition
4*k^2*sin(theta/2)
Term
1
 Definition
[image]

Integral stays there
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