Quantum mechanical modeling of the multi-stage Stern$unicode{x2013}$Gerlach experiment by Frisch and Segrè using the von Neumann equation

Kavli Affiliate: Lihong V. Wang

| First 5 Authors: S. Süleyman Kahraman, Kelvin Titimbo, Zhe He, Jung-Tsung Shen, Lihong V. Wang

| Summary:

The multi-stage Stern$unicode{x2013}$Gerlach experiment conducted by Frisch
and Segr`e has been modeled analytically using quantum mechanics by Majorana
and revised by Rabi by including the hyperfine interaction. However, the
theoretical predictions do not match the experimental observation well. Here,
we numerically solve the standard quantum mechanical model, via the von Neumann
equation, that includes the hyperfine interaction for the time evolution of the
spin. The outcome is compared with the experimental observation and the
predictions by Majorana, Rabi, and an alternative model called co-quantum
dynamics. Thus far, the coefficients of determination from the standard quantum
mechanical model, which does not use free parameters, are still below zero.
Non-standard variants that improve the match are explored in the appendices for
discussion.

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