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basic_tools:hilbert_space [2018/04/09 06:40] ronaldwilliams [Intuitive] |
basic_tools:hilbert_space [2018/04/09 06:40] ronaldwilliams [Why is it interesting?] |
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<blockquote>Recall that in Chapter 5 the concept of [[basic_tools:phase_space|phase space]] was introduced for the | <blockquote>Recall that in Chapter 5 the concept of [[basic_tools:phase_space|phase space]] was introduced for the | ||
description of a classical system. A single point of phase space would be used | description of a classical system. A single point of phase space would be used | ||
- | to represent the (classical) state of an entire physical system. In the [[theories:quantum_theory|quantum | + | to represent the (classical) state of an entire physical system. In the quantum |
- | theory]], the appropriate analogous concept is that of a Hilbert space. A single | + | theory, the appropriate analogous concept is that of a Hilbert space. A single |
point of Hilbert space now represents the quantum state of an entire system. | point of Hilbert space now represents the quantum state of an entire system. | ||