What Does Re Mean in Coherent State Equations?

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SUMMARY

The discussion centers on the interpretation of "Re" in the context of coherent state equations for a harmonic oscillator. Participants confirm that "Re" denotes the "real part" of a complex expression, particularly when calculating the magnitude squared of the wave function |psi(x,t)|^2. This involves multiplying the wave function by its complex conjugate, which can yield cross terms that are complex conjugates of each other. The concept is also relevant in classical mechanics, where imaginary solutions are typically absent.

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  • Understanding of coherent states in quantum mechanics
  • Familiarity with harmonic oscillators
  • Knowledge of complex numbers and their properties
  • Basic principles of quantum mechanics, particularly wave functions
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Students and professionals in quantum mechanics, physicists studying harmonic oscillators, and anyone interested in the mathematical foundations of coherent states.

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Coherent state... "Re"?

So we're talking about coherent state of harmonic oscillator... and for |psi(x,t)|^2, we came up with an equation... that has a term with "Re" in it. Does anyone know what I'm talking about or should I type up the whole equation? What does the "Re" mean?>?>
 
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The whole equation would be helpful but usually Re means "real part". Since you're taking the magnitude squared, you have psi times complex conjugate of psi and if psi is a sum of terms it can happen that you get the sum of two cross terms that are complex conjugates of each other.
 
Re[blah blah] usually means "take the real part" and Im[blah blah] means "take the imaginary part".

This tends to come up in classical mechanics a bit, too, since you don't really see imaginary solutions to equations of motion.
 

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