basic_tools:hilbert_space
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basic_tools:hilbert_space [2018/03/28 12:45] jakobadmin [Intuitive] |
basic_tools:hilbert_space [2018/04/09 06:40] ronaldwilliams [Why is it interesting?] |
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| <tabbox Intuitive> | <tabbox Intuitive> | ||
| - | {{ :basic_tools:hilbertspace.png?nolink&400|}} | ||
| - | A Hilbert space is the natural arena of quantum mechanics. Each point in this represents one specific configuration a given system can be in. | + | A Hilbert space is the natural arena of quantum mechanics. Each point in it represents one specific configuration a given system can be in. |
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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. | ||
basic_tools/hilbert_space.txt · Last modified: 2018/05/03 13:23 by jakobadmin
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