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Physics
Classical Physics
Mechanics
How to interpret complex solutions to simple harmonic oscillator?
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[QUOTE="vanhees71, post: 6802207, member: 260864"] Another way to think about it is to say that you only look for solutions with ##x(t) \in \mathbb{R}##. That constrains the "allowed values" for the complex coefficients of you solution to ##B=A^*##. You get still the complete solutions for the real differential equation, because the complex coefficient ##A=A_r + \mathrm{i} A_i## consists of the two real numbers ##A_r## and ##A_i##, which can be used to satisfy the real (!) initial conditions ##x(0)=x_0 \in \mathbb{R} ##, ##\dot{x}(0)=v_0 \in \mathbb{R}##. [/QUOTE]
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Forums
Physics
Classical Physics
Mechanics
How to interpret complex solutions to simple harmonic oscillator?
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