How to prove $\hat{p}|x\rangle=i\hbar\frac{\partial}{\partial x}|x\rangle$,using $[\hat{x},\hat{p}]=i\hbar$?
58445
What does the Canonical Commutation Relation (CCR) tell me about the overlap between Position and Momentum bases?
39080
What is the spectrum of $\hat x \hat p + \hat p \hat x$?
120766
Prove ${y_n}$ is a basis for a Hilbert space $H$.
48498
Fourier coefficients $\langle x,e_k\rangle$ are at countable
78143
Proving $\mathbb{F}_p/\langle f(x)\rangle$ with $f(x)$ irreducible of degree $n$ is a field with $p^n$ elements
54244
Understanding the Proof of L'Hopital's Rule
116558
Consider two linear operators $\hat{A}$ and $\hat{B}$. Show that $e^{\hat{A}}e^{\hat{B}}=e^{\hat{A}+\hat{B}}e^{[\hat{A},\hat{B}]/2}$
83531
Prove $\iint_{x^{2}+y^{2} \leq 1} e^{x^{2}+y^{2}} d x d y \leq\left[\int_{-\frac{\sqrt{\pi}}{2}}^{\frac{\sqrt{\pi}}{2}} e^{x^{2}} d x\right]^{2} $
86717
Completeness of $\langle \mathscr{C} [0, 1], \| \cdot \|_1 \rangle$
30996
If $\langle Ta, a\rangle \in \mathbb{R}$ for all $a$ then $T$ is self-adjoint
148753
Quantum Stat-Mech Proof of an Inequality for the Partition Function
83970
Proof of an elementary property of Projection Operators
133228
Prove $(|x| + |y|)^p \le |x|^p + |y|^p$ for $x,y \in \mathbb R$ and $p \in (0,1]$.
26896
Why can't $ i\hbar\frac{\partial}{\partial t}$ be considered the Hamiltonian operator?
113593
How can I prove that $\frac{n^2}{x_1+x_2+\dots+x_n} \le \frac{1}{x_1}+ \frac{1}{x_2} +\dots+ \frac{1}{x_n}$?
151805
Prove that $\tau (x_1 x_2 ... x_k) \tau^{-1} = (\tau(x_1) \tau(x_2) ... \tau (x_k))$
14867
How to interpret $\langle x|\hat Q|x'\rangle$ for a quantum mechanical operator $\hat Q$?