If a particle is point like, then point [itex]x\in\mathbb{R}^3[/itex] specifies the particle's spatial configuration, and the quantum mechanical wave function for the particle is(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\Psi:\mathbb{R}^3\to\mathbb{C}

[/tex]

The spatial configuration of a closed string with fixed length L can be specified with a function

[tex]

f:S^1\to\mathbb{R}^3

[/tex]

such that the function satisfies

[tex]

\underset{S^1}{\int} du\;|\nabla f(u)| = L

[/tex]

Is the idea in string theory to then describe these strings with wave mappings

[tex]

\Psi:\{f\}\to\mathbb{C}?

[/tex]

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# Little question about string theory

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