Recent content by nymphidius
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A quick question I had about the way the Hamiltonian is factored
Thanks for the input---I shall forge ahead using the standard convention.- nymphidius
- Post #3
- Forum: Advanced Physics Homework Help
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A quick question I had about the way the Hamiltonian is factored
I'm currently using David J. Griffiths 'Introduction to Quantum Mechanics' to teach myself quantum mechanics and I had a quick question about the way he factors the Hamiltonian into the raising and lowering operators for the potential V(x)=(1/2)kx² On page 42 he writes the Hamiltonian as...- nymphidius
- Thread
- Hamiltonian
- Replies: 2
- Forum: Advanced Physics Homework Help
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Graduate How Does Griffith Prove Psi Stays Normalized in Equation [1.25]?
okay so I get that part, but in the same line (within 1.25) he writes: iℏ/2m(ψ*∂²/∂x²[ψ]-∂²/∂x²[ψ*]ψ) = iℏ/2m(∂/∂x)(ψ*∂/∂x[ψ]-∂/∂x[ψ*]ψ) [1.25] how did he factor out the partial derivative with respect to x on the RHS? To my knowledge, if you apply the partial derivative on the RHS then I...- nymphidius
- Post #4
- Forum: Quantum Physics
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Graduate How Does Griffith Prove Psi Stays Normalized in Equation [1.25]?
Thanks a million man. I understand it now.- nymphidius
- Post #3
- Forum: Quantum Physics
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Graduate How Does Griffith Prove Psi Stays Normalized in Equation [1.25]?
I'm having trouble understanding what David Griffith did in equation [1.25]. In this section he's trying to prove that psi stays normalized and I'm following him from [1.21] to [1.25] and where I'm getting stuck is understanding how: ∂/∂t|ψ|^2= i\hbar/2m(ψ*∂²/∂x²[ψ]-∂²/∂x²[ψ*]ψ)...- nymphidius
- Thread
- Normalization Section
- Replies: 4
- Forum: Quantum Physics