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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.

13 votes
1 answer
395 views

Mathematical explanation of orbital shell sizes: why is it sufficient to consider single-ele...

Motivation The question "Is there a good mathematical explanation for why orbital lengths in the periodic table are perfect squares doubled?" asks for an explanation of the sequence 2, 8, 8, 18, 18, 3 …
Dan Romik's user avatar
  • 2,549
6 votes

Possible new series for $\pi$

A related, and perhaps easier, question is whether there are other known series for 𝜋 that involve a complex parameter 𝜆 in the summand, but where the sum of the series is independent of the value …
Dan Romik's user avatar
  • 2,549