The solutions, in the position basis, of the Schrodinger Equation for the Quantum Harmonic Oscillator are a family of functions based on the Hermite Polynomials. The Wikipedia link for this subject is http://en.wikipedia.org/wiki/Quantum_harmonic_oscillator . But this Wikipedia article and most of what I have read on this topic only descirbes the REAL part of this family of solutions. What is, or where can I read about, the IMAGINARY part of these wave functions? As always, thanks in advance.