Physics · Advanced university
Poisson bracket of two monomials · formula reference
Use the declared order; reversing f and g reverses the bracket sign.
Formula
Use the declared order; reversing f and g reverses the bracket sign.
{f,g} = f_q g_p − f_p g_q
Worked example
Using {f,g}=f_q g_p−f_p g_q, calculate {6q², 12p²} at q=-3, p=-5. Treat variables as dimensionless. Round the final result to 4 decimal places if needed.
Only the first product survives: (12q)(24p).
4320
Prerequisites and checking
Algebra, calculus and the stated physical model. Keep units and rounding consistent. State the model conditions before applying the formula.
Further reading and review references
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