Pointwise bounds on eigenfunctions and wave packets in $N$-body quantum systems. I
Pointwise bounds on eigenfunctions and wave packets in $N$-body quantum systems. I
We provide a simple proof of (a modification of) Katoâs theorem on the Hölder continuity of wave packets in N-body quantum systems. Using this method of proof and recent results of OâConnor, we prove a pointwise bound \[ |\Psi (\zeta )| \leqq {D_\varepsilon }\exp [ - (1 - \varepsilon ){a_0}|x|]\] …