- #1

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http://en.wikipedia.org/wiki/Baker–...er.E2.80.93Campbell.E2.80.93Hausdorff_formula

However, I don't really understand how to know what the values of [itex]r_i[/itex] and [itex]s_i[/itex] are, where [itex]1\leq i\leq n[/itex].

Thanks.

- Thread starter BlackHole213
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- #1

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http://en.wikipedia.org/wiki/Baker–...er.E2.80.93Campbell.E2.80.93Hausdorff_formula

However, I don't really understand how to know what the values of [itex]r_i[/itex] and [itex]s_i[/itex] are, where [itex]1\leq i\leq n[/itex].

Thanks.

- #2

Bill_K

Science Advisor

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Like it says,I've been trying to understand the explicit CBH formula

http://en.wikipedia.org/wiki/Baker–...er.E2.80.93Campbell.E2.80.93Hausdorff_formula

However, I don't really understand how to know what the values of [itex]r_i[/itex] and [itex]s_i[/itex] are, where [itex]1\leq i\leq n[/itex].

The sum runs over all possible values of sWhere s_{n}and r_{n}are non-negative integers.

- #3

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This may be a dumb question, but how do I know what the possible values of [itex]r_n[/itex] and [itex]s_n[/itex] are? I feel like I'm over-thinking this.

For example, if I consider [itex][X,Y][/itex], then [itex]r_n=s_n=r_1=s_1=1[/itex]. If I just had the BCH formula as written by Dynkin, how would I know that [itex]r_1=s_1=1[/itex] for [itex]n=1[/itex]?

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