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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.
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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 …
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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:
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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 …