This paper explains how Quantum State Normalization works using the Complex Plane and the Unit-Circle concept. The work looks at how the Quantum Superposition: ∣α∣²+∣β∣²=1 can be shown with Complex Numbers and Phase Analysis. The paper connects Quantum Mechanics to Engineering Math, Signals & Systems and Control Theory by linking Quantum Probabilities to polar and exponential forms of complex numbers. It also talks about how this relates to oscillating systems Fourier analysis and Complex Plane analysis in Engineering. This work aims help to understand principles through simple Geometric ideas, bridging Quantum Mechanics, Math and Engineering. It is meant to help understand Physics and Quantum Geometry.
Suman Kumar Das (Thu,) studied this question.
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