Finding Harmonics Analytically

1. Is a harmonic function analytic?
2. How do you find the harmonic function?
3. How do you find the solution of a harmonic oscillator?

Is a harmonic function analytic?

All harmonic functions are analytic, that is, they can be locally expressed as power series.

How do you find the harmonic function?

How do you know if a function is harmonic? We can verify whether the given function is harmonic or not using the equation (∂²u/∂x²) + (∂²u/∂y²) = 0. If the given function satisfies this equation then it is a harmonic function.

How do you find the solution of a harmonic oscillator?

The solution to the harmonic oscillator equation is(14.11)x=A cos(ωt+ϕ)where A is the amplitude and ϕ is the initial phase.