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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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Action of unitary operator on operator: two different definitions?
Defnition 1:
Ref: Section 2.4.9, Quantum Mechanics: Concepts and Applications
By Nouredine Zettili
Ket $|\psi \rangle $ transform as $\underline{|\psi' \rangle = \hat{U} |\psi \rangle }$. Given thi …
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Normalising squeezed position eigenket?
I want to find the effect of squeezing operator $S(r) = \exp \big[r(\hat{a}^2 - \hat{a}^{{\dagger}^2})\big]$
on $|q\rangle$ i.e. $S(r)|q\rangle$.
I proceed as follows:
$$S(r)\hat{q}|q\rangle = S(r) …