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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.

1 vote

Difference between momentum calculated from wavefunction and momentum computed by energy for...

I doubt the way of using kinetic energy to calculate momentum. It might work for certain special situations (could you provide reference of this), but generally the right way is to use the momentum op …
Pu Zhang's user avatar
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3 votes

How can molecule of a few angstroms absorb visible light of a few hundred nanometers?

The absorption/radiation mechanism for antenna is purely classical. It depends on the current oscillation on the structure. For a molecule or atom, it is purely quantum. What only matters is energy le …
Pu Zhang's user avatar
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1 vote

Shankar's Active/Passive Change of Basis

The unitary condition for the transformation is not about the math here. A meaningful transformation for a quantum system must be unitary. Actually I think probably your derivation is right. You just …
Pu Zhang's user avatar
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1 vote

Coulomb potential in atoms other than hydrogen

The answer is no. Hydrogen atom has only one electron. That's why it's possible to get the simple formula for energy. For other atoms, such as silicon, there are more than one electrons around the nuc …
Pu Zhang's user avatar
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1 vote
Accepted

Initial condition for Fourier transformed Schrödinger equation

Working in the frequency space helps simplify the differential equation you need to solve. Now it should be possible to find a bunch of solutions to the new differential equation. However, in the end …
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