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basic_tools:hilbert_space
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Hilbert Space
Why is it interesting?
Recall that in Chapter 5 the concept of phase space was introduced for the 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 quantum 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.
page 257 in "The Emperors new Mind" by R. Penrose
Important Related Concepts:
Layman
Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.
Student
In this section things should be explained by analogy and with pictures and, if necessary, some formulas.
Researcher
The motto in this section is: the higher the level of abstraction, the better.
- Common Question 1
- Common Question 2
Examples
- Example1
- Example2:
History
basic_tools/hilbert_space.1508689650.txt.gz · Last modified: 2017/12/04 08:01 (external edit)
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