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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.

0 votes
1 answer
101 views

Will a particle's spin evolve abruptly if the magnetic field it's in changed abrubptly?

If a particle (say electron) was placed in a magnetic field with only a z-component ( $B_0 \hat{k}$ ), then according to the equations $$H = - \mu \ .B \ \ \ \quad \quad \quad \quad\mu =\gamma S $$ th …
Diaa Eldin Malek's user avatar
-3 votes
1 answer
132 views

Harmonic oscillator wave equation [closed]

Griffiths QM, problem 2.13. Consider the following stationary state for a particle in a harmonic oscillator potential: $$\Psi(x,0)= \frac{1}{5} [3\psi_0(x)+4\psi_1(x)]$$ Adding the time dependence: …
Diaa Eldin Malek's user avatar
4 votes
4 answers
1k views

Are all operators really associative?

Operators are associative as seen here. But when we try to calculate $[\hat{x}, \hat{p}]$ for example, we use a test function and apply $\hat{p}$ to both $\hat{x}$ and the function, instead of associ …
Diaa Eldin Malek's user avatar