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Results tagged with quantum-mechanics
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user 198222
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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Why does $[H,N]=0$ violate with superfluid phase judgement $\left<b\right>=0?$
I'm working with the standard Boson Hubbard model. It's Hamiltonian is defined in Fock space and commutes with total particle number N.
$$[{{\hat H}_{BH}},\hat N] = 0$$
So I can simultaneously diagno …
- 118
2
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Accepted
Transformation connecting two representations - Quantum mechanics
You want to know what $$\hat p\psi (x)$$ is.
In matrix algebra it's
$$\left\langle x \right|\hat p\left| \psi \right\rangle $$
In wave mechanics it's
$$
\hat p\psi (x) = {\hbar \over i}{\partial \ov …
- 118