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## Main Question or Discussion Point

i really can not understand it

- Thread starter wdlang
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- #1

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i really can not understand it

- #2

tiny-tim

Science Advisor

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Hi wdlang!

What's "dynamical symmetry"?

I googled and wiki'd it, but couldn't find anything.

What's "dynamical symmetry"?

I googled and wiki'd it, but couldn't find anything.

- #3

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Hi,

are you refering to symmetry breaking ? A symmetry can be dynamically or spontaneously broken.

are you refering to symmetry breaking ? A symmetry can be dynamically or spontaneously broken.

- #4

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Thanks a lotHi,

are you refering to symmetry breaking ? A symmetry can be dynamically or spontaneously broken.

dynamically broken?

i seldom hear it. However, spiontaneously symmetry broken is well know.

could you explain it in detail? thanks！

- #5

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Since the LRL vector is peculiar to the particular potential of the hydrogen atom and does not emerge as the result of some general geometrical feature shared by a whole class of systems (like rotational symmetry), it is termed a _dynamical_ symmetry. If one were naively observing the Hydrogen atom, then one would only notice the extra symmetry in studying its dynamics.

Disclaimer: This is only what I have gleaned from reading some papers on dynamical symmetry; I have never read an actual definition.

Side notes:

* If I recall correctly, the SO(4) symmetry of the Hydrogen atom can be realized by starting in a four dimensional space and dimensionally reducing. In which case the dynamical symmetry starts out as a geometrical symmetry.

* Dynamical symmetry breaking is a type of spontaneous symmetry breaking and is an unrelated topic.

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