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phys486 2
UIUC PHYS 486 BECK MIDTERM 2
20
Physics
Undergraduate 4
10/28/2019

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Term
|a>
Definition
[image]
Term
inner product
Definition
[image]
Term
[image] in integral form
Definition
[image]
Term
Observables are represented by
Definition
hermitian operators
Term
Hermitian operator Q
Definition
[image]
Term
Determinate states are eigenfunctions of
Definition
Q
Term
Eigenvalue eqn for Q operator
Definition
Q Ψ = q Ψ

Ψ = eigenfunction
q = eigenvalue
Term
Integration by parts formula
Definition
[image]
Term
Normalizeable eigenfunctions of a hermitian operator
Definition
are orthogonal (int f*g = 0) and their eigenvalues are real
Term
Expectation value of Qop
Definition
[image]
Term
Hilbert Space
Definition
[image]
Term
[x,p] =
Definition
i hbar
Term
Generalized uncertainty principle
Definition
[image]
Term
The system is initially in state (a+), and you want probability of (b-)
Definition
[image]
Term
TISE
Definition
[image]
Term
Allowed energy for a hydrogen atom
Definition
E_1/n^2
Term
Label spacial wavefunctions for hydrogen
Definition
[image]
Term
[image]
[image][image]
Definition
[image]
Term
[L^2, L_(x,y,z)]
Definition
[image]
Term
L^2, Lz eigenvalues/fn
Definition
[image]
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