University:
Santa Fe College
Course:
PHY 2048 | General Physics 1 with Calculus
Academic year:

2024
Views:

496

Pages:

5
Author:

Jabin F.

# Perturbation Theory :- H = Ho + Hp (Approximation method.) Ho = Unperturbed Hamiltonian. Hp = Perturbed Hamiltonian. Time Independent, Time depend. (Ho or Hp) Perturbation depends if perturbation (Ho or Hp) on time is independent of time Non-Deg. Pert. Theory Deg. Pert. Theory If eigen energies of → If eigen energies Unperturbed Hamiltonian of unperturbed Hamiltonian are non-deg. are degenerate. The image contains handwritten mathematical equations and symbols. The text is written in black ink on a white background. The equations are arranged in multiple columns and rows. Some equations are numbered or labeled. There are also some seemingly random characters and symbols, such as "オニアー2月" and "オメオ". The overall appearance of the image is cluttered and difficult to read. B = ∇ x A = | i j k | | ∂/∂x ∂/∂y ∂/∂z | | Ax Ay Az | 1* = ()î + ()ĵ + ∫(∂Ay/∂x - ∂Ax/∂y)k̂ (オメカ)^2 = (ħ^2 * Bz) / 2m (option-d) ayes.1 page-23 [[x,p]=i] [X=xcos~\phi+p~sin~\phi] [Y=-n~sin~\phi+p~cos~\phi] \[[x~y]=[x~cos~\phi+p~sin~\phi,-x~sin~\phi+P~cos~\phi]\] \(=[x~cos\phi,-x~sin~\phi]+[x~cos~\phi.\) plost] \[(G)=[\begin{matrix}P~lin\phi,x\delta in\phi]+[P~sin\phi,P(n\phi)\end{matrix}]\] \[=0+Cos^{2}\phi[\gamma P]-Sin^{2}\phi[P,x]=0\] \[=^{1}\cdot(cos^{2}\phi+i^{0}\delta^{*}n^{2}\phi\] (option-c) ayes 19 pagerse 2 Ση/ση² = / \[|N|^{2}\sum_{n=0}^{\infty}||\frac{1}{M}|^{n}|^{2}=1\] \[|N|^{2}[1+\frac{1}{7}+(\frac{1}{7})^{2}+--]=1\] \[|N|^{2}\frac{1}{(1-\frac{1}{7})}=1\] [|N|^{2}\frac{7}{6}=] N=[\sqrt{\frac{6}{7}}] (option b) The image contains handwritten text and mathematical symbols. The text is written in black ink on a white background. The content is arranged in multiple lines with inconsistent spacing. The overall appearance of the image is clean and easy to read, except for the symbol "一方²" which is unclear and might be a mistake or a specific notation. P-space p² Φ(P) - xpΦ(P) = EΦ(P) (2m - xp) = E Vg = dE/dp = -p/m Vg = ψk/m-x (option-d) The image contains handwritten text and numbers. The text is written in black ink on a white background. The content is arranged in multiple lines with inconsistent spacing. There are also some seemingly random characters, such as "こ". The overall appearance of the image is clean and easy to read, except for the unclear symbols and the inconsistent spacing.