Rubber-Band Helium - Githubissues

ohno / Antique.jl

Self-contained, well-tested, well-documented Analytical Solutions of Quantum Mechanical Equations.

https://ohno.github.io/Antique.jl/

MIT License

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Rubber-Band Helium #35

Open ohno opened 6 months ago

ohno commented 6 months ago

The "rubber-band helium" is a class of three-body problems that has analytical solution. This is presented in Problem 8.24 of

D. J. Griffiths and D. F. Schroeter, Introduction to Quantum Mechanics (2018) https://doi.org/10.1017/9781316995433.

References:

R. Crandall, R. Whitnell and R. Bettega, Am. J. Phys. 52, 438 (1984) https://doi.org/10.1119/1.13650,
R. Crandall, R. Bettega and R. Whitnell, J. Chem. Phys. 83, 698 (1985) https://doi.org/10.1063/1.449483.

Applications:

Kestner(1962) https://doi.org/10.1103/PhysRev.128.2687

ohno commented 5 months ago

This model seems to be called a "Hooke's atom" or "harmonium". Please see Wikipedia. :Harmonium is the good model name.