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opti511r
u of a opti 511r sp 2022
31
Physics
Graduate
05/08/2022
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Term
Cavity Stability
 Definition
g1 = 1 - L/R1
g2 = 1- L/R2

Stable if 0 < g1*g2 < L
Term
FSR
 Definition
c/2L
Term
w0 for beams (formula and definition)
 Definition
mode waist (radius)

Sqrt[z0*λ/Pi]
Term
z0
 Definition
Pi*w0^2/λ

Rayleigh range - where spot size is smallest
Term
R(z)
 Definition
Radius of curvature

R(z) = z + (z0^2)/z
Term
Spot Size
 Definition
w(z) = w0 * Sqrt[1 + (z^2/z0^2)]
Term
Angular Momentum
 Definition
S
Term
Spin State Dirac Notation
 Definition
|s,ms>
Term
s, ms possible numbers
 Definition
s = 0, 1/2, 1, 3/2, ...
ms = -s,-s+1, ..., s - 1, s
Term
Time dep schrodinger
 Definition
[image]
Term
Momentum operator
 Definition
p = -I*Hbar*d/dx
Term
[p] for Psi
 Definition
[image]
Term
Time dependence on wavefunction
 Definition
E^(-I*E_n*t/Hbar)
Term
Orthogonal
 Definition
[image]
Term
H operator
 Definition
[image]
Term
Lz*Ψnlm
 Definition
mℏ * Ψnlm
Term
L^2*Ψnlm
 Definition
ℏ^2*(l)*(l+1)
Term
H*|Ψnlm]
 Definition
E_n |Ψnlm>
Term
Sz operator
 Definition
mz*ℏ
Term
Energy Expectation Value
 Definition
Sum of P_n*E_n (probability for each state times that energy)
Term
Rabi Formula and Given Values
 Definition
[image]
Term
[Sz]
 Definition
[image]

(χ*T)(Sz)(χ)

Similar for Sx/y
Term
∆x or ∆p
 Definition
[image]
Term
Dipole moment calculation
 Definition
-e *
Term
E_n Simple Harmonic Oscillator
 Definition
[image]
Term
deBroglie Wavelength
 Definition
[image]
Term
Energy of Ground State Square Well E_n
 Definition
[image]
Term
Ψ for ground state of square well (0
 Definition
[image]
Term
Modes lasing together
 Definition
FWHM/FSR
Term
temporal period of output pulses
 Definition
1/FSR = 2c/L
Term
avg photons in |5>
 Definition
[N]=5
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