Difference between revisions of "Template:Langle/doc"
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imported>F=q(E+v^B) (→Examples: remove redundant examples - absolutley no point in using the font template, upgrade to better ones) |
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==Examples== | ==Examples== | ||
| − | + | There is no need to use spaces around the template, due the large spacing in the template glyph. | |
| − | + | ;Examples of bra's | |
| − | {{langle}} | + | The superposition of states can be written {{langle}}p| +{{langle}}q| +{{langle}}χ| +{{langle}}ψ|, which is inline with the text. |
| + | |||
| + | Another superposition of states: {{langle}}P| +{{langle}}Q| +{{langle}}Φ| +{{langle}}Ψ|, again inline. | ||
<pre> | <pre> | ||
| − | {{langle}}p|+{{langle}}q|+{{langle}}χ|+{{langle}}ψ|, | + | The superposition of states can be written {{langle}}p| +{{langle}}q| +{{langle}}χ| +{{langle}}ψ|, which is inline with the text. |
| − | {{langle}}P|+{{langle}}Q|+{{langle}}Φ|+{{langle}}Ψ|, | + | Another superposition of states: {{langle}}P| +{{langle}}Q| +{{langle}}Φ| +{{langle}}Ψ|, again inline. |
</pre> | </pre> | ||
| − | + | ;In conjunction with {{tl|Rangle}}: | |
| − | {{langle}}p | + | One sum of inner products is {{langle}}p|q{{rangle}}+{{langle}}χ|ψ{{rangle}}, a real number. |
| − | {{langle}}P | + | Another sum of inner products is {{langle}}P|Q{{rangle}}+{{langle}}Φ|Ψ{{rangle}}, another real number. |
<pre> | <pre> | ||
| − | {{langle}}p | + | {{langle}}p|q{{rangle}}+{{langle}}χ|ψ{{rangle}} |
| − | + | {{langle}}P|Q{{rangle}}+{{langle}}Φ|Ψ{{rangle}} | |
| + | </pre> | ||
| − | + | The average of a quantity ''q'' may be written {{langle}}''q''{{rangle}}. The root mean square is then √{{langle}}''q''<sup>2</sup>{{rangle}}, i.e. square every value, then average, then take the root. | |
| − | {{langle}} | ||
| − | |||
| − | |||
| − | |||
==See also== | ==See also== | ||
For use with {{tl|Rangle}} | For use with {{tl|Rangle}} | ||
Revision as of 14:54, 12 June 2012
This is the left-handed angular bracket used for writing averages or bra-ket notation, with other applications primarily in mathematics and physics, for use when inline html rendering is desired rather than Template:TeX rendering.
Examples
There is no need to use spaces around the template, due the large spacing in the template glyph.
- Examples of bra's
The superposition of states can be written ⟨p| +⟨q| +⟨χ| +⟨ψ|, which is inline with the text.
Another superposition of states: ⟨P| +⟨Q| +⟨Φ| +⟨Ψ|, again inline.
The superposition of states can be written {{langle}}p| +{{langle}}q| +{{langle}}χ| +{{langle}}ψ|, which is inline with the text.
Another superposition of states: {{langle}}P| +{{langle}}Q| +{{langle}}Φ| +{{langle}}Ψ|, again inline.
- In conjunction with {{Rangle}}
One sum of inner products is ⟨p|qTemplate:Rangle+⟨χ|ψTemplate:Rangle, a real number.
Another sum of inner products is ⟨P|QTemplate:Rangle+⟨Φ|ΨTemplate:Rangle, another real number.
{{langle}}p|q{{rangle}}+{{langle}}χ|ψ{{rangle}}
{{langle}}P|Q{{rangle}}+{{langle}}Φ|Ψ{{rangle}}
The average of a quantity q may be written ⟨qTemplate:Rangle. The root mean square is then √⟨q2Template:Rangle, i.e. square every value, then average, then take the root.
See also
For use with {{Rangle}}