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Results tagged with quantum-mechanics
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user 35122
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.
2
votes
Accepted
Function for a time-independent perturbation in quantum mechanics
What it means by $F(t,\omega=0)$ is actually $\lim_{\omega \to 0} F(t,\omega)$.
This limit is calculated as follows as follows using L'Hôpital's rule.
\begin{align*}
&\lim_{\omega \to 0} \frac{1-\cos …
- 162
1
vote
0
answers
65
views
Quantum transitions between energy states [closed]
When a quantum system is acted on by time dependent perturbation, the initial state evolves according to the new time-dependent Hamiltonian and grows to some superposition of states. During the time p …
- 162
2
votes
4
answers
512
views
Measurement of quantum state
Consider a particle in a box system. Assume its state to be a superposition of the ground and the first excited energy states. Consider two observers A and B (rest of the world). A made the measuremen …
- 162
6
votes
4
answers
11k
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Complex conjugate of momentum operator
Consider momentum operator representation in position space.
$$\hat{p}=-i\frac{\partial}{\partial x} \,\ \text{and its eigen functions are } e^{ipx} \,\text{and} \,\ e^{-ipx}.$$
$$\hat{p}e^{ipx}=pe^{ …
- 162