A Analytical evaluation of r^l integral

squareroot
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Hello,

I need to find the matrix elements of
CodeCogsEqn-3.gif

in the particular case where l = 1. This should have an analytical solution but I have no idea where to start with this demonstration.

Any suggestions on where to start digging?Ty!
 
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Start defining your notation! What's ##R_{nl}##? What's the domain of integration? Last but not least, homework problems should be sent to the homework forum!
 
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My guess is that ##R_{nl}## is the radial part of the electronic wave function for the hydrogen atom.

This indeed looks like homework, and I will therefore close the thread and ask you to start another one in the homework forum, with a proper description of the problem and an attempt at a solution. If my judgement is wrong, please PM me.
 
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Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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