# Tagged Questions

For questions on quantum mechanics, a branch of physics dealing with physical phenomena at microscopic scales, where the action is on the order of the Planck constant.

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I am reading Introduction to Quantum Computing by Kaye, Laflamme, and Mosca. As an exercise, they write "Prove that if the operators $P_{i}$ satisfy $P_{i}^{*}=P_{i}$ and $P_{i}^{2}=P_{i}$ , then $P_{... 2answers 574 views ### Regarding Ladder Operators and Quantum Harmonic Oscillators When dealing with the Quantum Harmonic Oscillator Operator$H=-\frac{d^{2}}{dx^{2}}+x^{2}$, there is the approach of using the Ladder Operator: Suppose that are two operators$L^{+}$and$L^{-}$and ... 3answers 76 views ### Explanation of this integral $$\int_{-\infty}^{\infty} e^{-\frac{i}{\hbar}(p-p')x} dx = 2\pi\hbar\delta(p-p')$$ I don't quite understand how this integration leads to the right hand side. Any explanation is appreciated. 1answer 45 views ### Tensor product in dual-space I am a bid confused regarding the notation for tensor products when going into dual-space If$\left| \Psi \rangle \right. = \left| A \rangle \right. \left| B \rangle \right.$is$ \left. \langle \Psi ...
The general formulation of quantum mechanics is done by describing quantum mechanical states by vectors $|\psi_t(x)\rangle$ in some Hilbert space $\mathcal{H}$ and describes their time evolution by ...