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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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Possible values of an observable are the eigenvalues of an operator
Ok, so I'm beginning to study quantum mechanics. For reference, the book I'm using is "Konishi-Paffuti/Quantum Mechanics-A New introduction".
Now, I get that the quantum state of something (say, a pa …
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Time evolution of expectation value of an operator
I'm studying QM from Sakurai, and I have a doubt regarding the proof given that in the case of time independent Hamiltonian the expectation value of an observable doesn't change with time. The argumen …
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Rectangular potential barrier
Take the usual rectangular potential barrier, that is:
$$V(x)=0 \: \text{if} \: x<0 \: \text{or}\: \: x>a$$
$$V(x)=V_0 \: \text{if} \: 0\leq x \leq a.$$
I've looked at several notes and books and in …