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The eigenfunctions in spherical coordinates for the hydrogen atom are ... , where ... and ... are the solutions to the radial and angular parts of the Schrödinger equation, respectively, and ... , ... , and ... are the principal, orbital, and magnetic quantum numbers with allowed values ... ... , and ... . The ... are the spherical harmonics and the radial functions are ... , where ... is the ... -order associated Laguerre polynomial and ... is the Bohr radius. The left graphic shows the radial probability density ... and the expectation value ... , and the right graphic shows the radial function.

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      EUN,LOM,LRE4,work-cmr-id:398329,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/HydrogenAtomRadialFunctions/,ilox,learning resource exchange,LRE metadata application profile,LRE

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