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 Sep 30 awarded Explainer Nov 23 awarded Excavator Nov 23 revised How to construct the radial component of the momentum operator? corrected parentheses Nov 23 suggested approved edit on How to construct the radial component of the momentum operator? Nov 30 awarded Commentator Nov 30 comment Scalar product between Fock states You can easily make $< new | original > = \sum c_{\ldots} < original | original >$ by substituting the definition of new creation / anihilation operators in $< new |$. Nov 30 comment Scalar product between Fock states Do you mean the scalar product $$or$$? Introduction of some different notation for the new bosons would help, eg. $|n_1' \ldots n_k' \ldots >$. Nov 29 comment Morse potential and chaos 1. Don't you want to write the potential as $V(x) = D_e (1-e^{-a(x-x_e)})^2$, as for example in this wiki article? The form you wrote, $V(x) = a e^{bx}$, is different, and I don't think it is the Morse potential any more. 2. Could you maybe explain the relation of this problem to chaos? Or maybe the question title should be "Equivalence of solutions of Morse potential and a particle in constant magnetc field" (or something similar)? Nov 29 comment Question on the Gell-Mann Low equation If you substitute $t\rightarrow \tau (1-i\epsilon)$ in your eq. (193), then the exponent is no longer a pure phase (i.e. complex number wuth modulus =1). All the terms receive a factor of type $e^{-\tau E_n}$. All these terms go to zero, as $\tau \rightarrow \infty$, but since author says $E_n > E_0$ for all $n>0$, then the first term goes to zero slower than all other terms. Thus we keep only this first term. If you understand now, then you can make it your own answer, it is ok to answer your questions. Nov 29 revised Representing a polarization vector for light as a 'manifold of two state' link fixed Nov 29 suggested approved edit on Representing a polarization vector for light as a 'manifold of two state' Nov 29 comment Representing a polarization vector for light as a 'manifold of two state' Maybe you could post a reference to the paper you were reading, this might help. Nov 27 answered About Efimov States and Halo-Nuclei Nov 27 awarded Supporter Nov 27 awarded Organizer Nov 27 revised About Efimov States and Halo-Nuclei reference added, 2 tags added Nov 27 suggested approved edit on About Efimov States and Halo-Nuclei Nov 27 awarded Editor Nov 27 revised Morse potential and chaos corrected spelling, fixed one equation Nov 27 answered Morse potential and chaos