$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$ $\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}$$\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}$$\newcommand{\dd}[2][]{\frac{d#1}{d#2}}$$\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$$\newcommand{\average}[2]{\langle#1|#2|#1\rangle}$$\newcommand{\ket}[1]{\langle #1\rangle}$qm-lec-18006
$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$ $\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}$$\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}$$\newcommand{\dd}[2][]{\frac{d#1}{d#2}}$$\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$$\newcommand{\average}[2]{\langle#1|#2|#1\rangle}$$\newcommand{\ket}[1]{\langle #1\rangle}$qm-lec-18011
$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$ $\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}$$\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}$$\newcommand{\dd}[2][]{\frac{d#1}{d#2}}$$\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$$\newcommand{\average}[2]{\langle#1|#2|#1\rangle}$$\newcommand{\ket}[1]{\langle #1\rangle}$qm-lec-18007
$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$ $\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}$$\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}$$\newcommand{\dd}[2][]{\frac{d#1}{d#2}}$$\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$$\newcommand{\average}[2]{\langle#1|#2|#1\rangle}$$\newcommand{\ket}[1]{\langle #1\rangle}$qm-lec-18004Some algebraic manipulationsLarge r expansion of the formal solution
$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$ $\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}$$\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}$$\newcommand{\dd}[2][]{\frac{d#1}{d#2}}$$\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$$\newcommand{\average}[2]{\langle#1|#2|#1\rangle}$$\newcommand{\ket}[1]{\langle #1\rangle}$qm-lec-18003
$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$ $\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}$$\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}$$\newcommand{\dd}[2][]{\frac{d#1}{d#2}}$$\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$$\newcommand{\average}[2]{\langle#1|#2|#1\rangle}$$\newcommand{\ket}[1]{\langle #1\rangle}$qm-lec-18002
$\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$ $\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}$$\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}$$\newcommand{\dd}[2][]{\frac{d#1}{d#2}}$$\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$$\newcommand{\average}[2]{\langle#1|#2|#1\rangle}$$\newcommand{\ket}[1]{\langle #1\rangle}$qm-lec-18005
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