The Hilbert Space: The Foundation of Quantum Probability
In the heart of quantum mechanics lies a mathematical architecture so precise it shapes how we understand reality at its most fundamental level. The Hilbert space provides this framework—a complete inner product space where quantum states reside as vectors. Each state |ψ⟩ encodes a possible physical configuration, and the inner product |⟨ψ|φ⟩|² gives the probability …
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