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Results tagged with quantum-mechanics
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user 29577
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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Rotating a wavefunction to get an exponential of $L^2$ and $L_z$
With the canonical choices of directions etc, assuming the quantum mechanical wavefunction $\Psi$ is an eigenfunction of the angular momentum operator $L_z$, we can express a rotation of angle $\alpha …
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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 …
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Identity in quantum operator tutorial
I'm reading this tutorial by Ben Simons entitled Operator methods in
quantum mechanics in connection with his course in advanced QM, and I'm a bit puzzled by an identity in page 25, a bit above relati …
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"Correlation energy" using the pair correlation function
In case someone else ends up here, here's what I think is going on:
As shown in the edit of the question the term containing $g(r)$ gives $E_{el-el}$, the Coulomb energy per particle of the electron- …
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"Correlation energy" using the pair correlation function
In this paper on the Quantum Hall effect the authors refer to something called the correlation energy of electrons. It is defined at the top of page 5 as
$E=\frac{n}{2}\int (g(r)-1)V(r)dA\ ,$
where …
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