Radial matrix elements of hydrogen atom and the correspondence principle |
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Authors: | T N Chakrabarty |
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Institution: | (1) Applied Physics Department, Fr. Conceicao Rodrigues College of Engineering, Fr. Agnel Ashram, Bandstand, Bandra (W), 400 050 Mumbai, India |
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Abstract: | Radial dipole matrix elements having astrophysical importance have been computed for highly excited states of hydrogen atom.
Computation is based on Heisenberg’s form of correspondence principle for Coulomb potential. Particular attention has been
paid to the choice of classical analogue(n
c) of principal quantum number (n). The computed radial matrix elements are in good agreement with quantum mechanical results. Further, radial matrix elements
for few transitions involving highn neighboring states of hydrogen atom are presented. |
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Keywords: | Hydrogen excited states radial matrix element correspondence principle |
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