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Quantum mechanics describes the microscopic properties of nature in a regime where classical mechanics no longer applies. It explains phenomena such as the wave-particle duality, quantization of energy, and the uncertainty principle and is generally used in single-body systems. Use the quantum-field-theory tag for the theory of many-body quantum-mechanical systems.
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What is the physical implication or significance of a wave function being an eigenfunction o...
I understand that if some wavefunction $\psi(x)$ is a an eigenfunction of some operator, say, momentum $-i \hbar \frac{d}{dx}$, then:
$$\hat{p}\psi(x)=p\psi(x) \equiv \hat{p}\left| \psi \right> = p \l …
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Expected value of operator on wavefunction on radius
I have a problem that was given as
$$\left< r | \psi \right> = \dots$$
I was midway through doing the problem when I realized we might have problems because we are working with a radius and not $x$, a …