I have to say that I am a bit confused with the use of complex numbers. I know that: 1. They have been created by mathematicians to solve the "real"ly unsolved equation of x^2=-1. 2. They are used in many aspects of physics, like waves and quantum theory, with terrific correspondence to the maths and experimental results. 3. But when it comes to physical meaning, there is a gap. Tricks like squaring to find the probability width in order to get rid of the unwanted "imaginary" part, or just using the "real" part. I tried to find a physical explanation but with no lack. Specifically I would appreciate a physical correspondence in two aspects. A. The waveparticle solution of Schroedinger Equation. B. The Unit operator of time (evolution). Thanks for your time.