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2
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1answer
74 views

Normalizing a wave function in a mixed well

So I got this potential and want to solve for the even wavefunctions http://imgur.com/GKAy4nD Since it's symmetric around the origin I need only to look at the interval [0,b] and solve for the ...
0
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1answer
25 views

Why must the separation constant be real in a time dependent wave function?

I'm not sure if I'm asking this right. I'm reading ''Introduction to Quantum Mechanics'' by Griffiths and in the chapter 2 exercises he asks to prove that the separation constant, $E$, must be real. ...
0
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1answer
35 views

Norm of quantum state in three dimensions

The Born interpretation states that for a particle with a wave function $\Psi(x)$, the total probability of finding that particle at some point in space is equal to $\int_{-\infty}^{\infty}\Psi(x)^*\...
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0answers
44 views

Energy term in Wavefunction Normalization

I recently started learning quantum mechanics and when I solved the Schrödinger equation for the Hydrogen atom, in particular the Radial equation, I found that I had normalized it but a term in the ...
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0answers
69 views

Normalization in eq. 2.1, QFT book by T. Banks

I've recently opened "Modern Quantum Field Theory. A Concise Introduction" by Thomas Banks. One of the very first equations (about Fock space, creation/annihilation) already got me stuck wondering if ...
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0answers
83 views

QFT Normalization of multi-particle states

Peskin 7.2 states that the identity operator for the entire Hilbert space is given by $I=\ket{\Omega}\bra{\Omega}+\displaystyle\sum_\lambda\int\frac{d^3p}{(2\pi)^3}\frac{1}{2E_p(\lambda)}\ket{\...
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0answers
87 views

Simplest fermionic normalized quantum many-particle wavefunction in position representation

What is the simplest fermionic normalized quantum many-particle wavefunction, expressed in the first-quantized position representation, that you can think of? The normal single-particle examples don't ...