What is it about?
The Whittaker functions are special functions frequently used in many applications. On the other hand, Green’s function of a Hamiltonian is an important object in quantum physics. The article describes some profound relations between the Whittaker functions thus extending some classical results like Gegenbauer’s Addition Theorem.
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Why is it important?
The Whittaker functions are frequently used in various applications in theoretical and mathematical physics, particularly in quantum mechanics.
Perspectives
The theory of special functions is a classical and fundamental area of mathematics which is being developed continuously according to the needs of possible applications. This is a contribution to this trend which will, beyond any doubt, continue further.
Pavel Stovicek
Ceske Vysoke Uceni Technicke v Praze
Read the Original
This page is a summary of: Coulomb Green’s function and an addition formula for the Whittaker functions, Journal of Mathematical Physics, February 2024, American Institute of Physics,
DOI: 10.1063/5.0184924.
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