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Results tagged with quantum-mechanics
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user 269308
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.
3
votes
2
answers
1k
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What is "Density of States" and how does one generally find it?
I'm walking out of a graduate quantum midterm kicking myself because I was asked to compute density of states as a function of energy for a spin $1/2$ particle of mass $m$ in a hard wall box of length …
- 269
1
vote
0
answers
91
views
Commutator of $K$ and $\alpha_p^\dagger$
I am trying to find the commutator of $K$, which is just the infinitesimal generator of Lorenz boosts, and $\alpha_p^\dagger$, the creation operator for a particle of momentum $p$ defined by:
$$\alpha …
- 269
0
votes
2
answers
686
views
Quantum Harmonic Oscillator With a Sudden Change in Electric Field
Consider the following hamiltonian:
$$H=\begin{cases}
\frac{p^2}{2m}+\frac{1}{2}m\omega_0^2x^2,&\text{ for }t<0\\
\frac{p^2}{2m}+\frac{1}{2}m\omega_0^2x^2-q\epsilon_0x,&\text{ for }t>0
\en …
- 269
1
vote
1
answer
196
views
Confusion About Time Dependent Perturbation Theory
Say for simplicity we are in a two state system with a Hamiltonian:
$$H=H_0+V(t)$$
Where $H_0$ is:
$$\begin{pmatrix}
\epsilon_0&0\\
0&\epsilon_1
\end{pmatrix}$$
While $V(t)$ is:
$$\begin{pmatrix}
0&V_ …
- 269