Difference between revisions of "Template:Braket/doc"
imported>Frietjes |
imported>Maschen (→Examples: blush) |
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| Line 54: | Line 54: | ||
;[[Schrödinger equation]]: | ;[[Schrödinger equation]]: | ||
In wiki-markup rather than LaTeX: | In wiki-markup rather than LaTeX: | ||
| − | :{{math|''iħ''{{sfrac|''d''|''dt''}}{{braket|ket|Ψ(''t'')}} {{=}} ''Ĥ''{{braket|ket|Ψ(''t'')}} ↔ −''iħ''{{braket|bra|Ψ(''t'')}}{{sfrac|''d''|''dt''}} {{=}} {{braket|bra|Ψ(''t'')}}''Ĥ''}} | + | :{{math|''iħ''{{sfrac|''d''|''dt''}}{{braket|ket|Ψ(''t'')}} {{=}} ''Ĥ''{{braket|ket|Ψ(''t'')}} ↔ −''iħ''{{braket|bra|Ψ(''t'')}}{{sfrac|''d''|''dt''}} {{=}} {{braket|bra|Ψ(''t'')}}''Ĥ''<sup>†</sup>}} |
that is, | that is, | ||
| − | :<code><nowiki>{{math|''iħ''{{sfrac|''d''|''dt''}}{{braket|ket|Ψ(''t'')}} {{=}} ''Ĥ''{{braket|ket|Ψ(''t'')}} ↔ −''iħ''{{braket|bra|Ψ(''t'')}}{{sfrac|''d''|''dt''}} {{=}} {{braket|bra|Ψ(''t'')}}''Ĥ''}}</nowiki></code> | + | :<code><nowiki>{{math|''iħ''{{sfrac|''d''|''dt''}}{{braket|ket|Ψ(''t'')}} {{=}} ''Ĥ''{{braket|ket|Ψ(''t'')}} ↔ −''iħ''{{braket|bra|Ψ(''t'')}}{{sfrac|''d''|''dt''}} {{=}} {{braket|bra|Ψ(''t'')}}''Ĥ''<sup>†</sup>}}</nowiki></code> |
==See also== | ==See also== | ||
Revision as of 20:03, 18 February 2013
| File:Edit-copy green.svg | This is a documentation subpage for Template:Braket. It contains usage information, categories and other content that is not part of the original template page. |
- "Template:Dirac notation" redirects here.
This is for producing quantum state vectors in bra-ket notation, using wikicode, ideally with {{math}}, as an alternative to LaTeX in <math> mode.
Application
It's very easy to use. There are three parameters, use as many as needed in this order:
- Brackets: choose one of:
- bra (for a bra vector),
- ket (for a ket vector),
- braket (for the inner product), or
- ketbra (for the outer product).
- Symbol 1:
- if 1 is set to bra or ket: enter the first symbol for the bra or ket,
- if 1 is set to braket or ketbra: enter the symbol for the bra part of the inner product, or ket part of the outer product.
- Symbol 2:
- if 1 is set to bra or ket: this parameter is not needed.
- if 1 is set to braket or ketbra: enter the symbol for the ket part of the inner product, or bra part of the outer product.
The symbols can of course be bold, italic, underlined, any unicode symbol, etc.
Examples
- Ket
A ket can be written: |ψTemplate:Rangle, that is {{braket|ket|ψ}}.
Using {{math}}, a ket can be written: |ψTemplate:Rangle, that is {{math|{{braket|ket|ψ}}}}.
- Bra
A bra can be written: ⟨ψ| = |ψTemplate:Rangle†, that is {{braket|bra|ψ}} = {{braket|ket|ψ}}<sup>†</sup>.
Using {{math}}, a bra can be written: ⟨ψ| = |ψTemplate:Rangle†, that is {{math|{{braket|bra|ψ}} {{=}} {{braket|ket|ψ}}<sup>†</sup>}}.
- Braket
The inner product of the kets |ξTemplate:Rangle and |ψTemplate:Rangle can be written: = †, that is {{braket|braket|ψ|ξ}} = {{braket|braket|ξ|ψ}}<sup>†</sup>.
Using {{math}}, the inner product of the kets |ξTemplate:Rangle and |ψTemplate:Rangle can be written: = †, that is {{math|{{braket|braket|ψ|ξ}} {{=}} {{braket|braket|ξ|ψ}}<sup>†</sup>}}.
- Ketbra
The outer product of the kets |ξTemplate:Rangle and |ψTemplate:Rangle can be written: = []†, that is {{braket|ketbra|ψ|ξ}} = [{{braket|ketbra|ξ|ψ}}]<sup>†</sup>.
Using {{math}}, the outer product of the kets |ξTemplate:Rangle and |ψTemplate:Rangle can be written: = []†, that is {{math|{{braket|ketbra|ψ|ξ}} {{=}} [{{braket|ketbra|ξ|ψ}}]<sup>†</sup>}}.
In wiki-markup rather than LaTeX:
- iħTemplate:Sfrac|Ψ(t)Template:Rangle = Ĥ|Ψ(t)Template:Rangle ↔ −iħ⟨Ψ(t)|Template:Sfrac = ⟨Ψ(t)|Ĥ†
that is,
{{math|''iħ''{{sfrac|''d''|''dt''}}{{braket|ket|Ψ(''t'')}} {{=}} ''Ĥ''{{braket|ket|Ψ(''t'')}} ↔ −''iħ''{{braket|bra|Ψ(''t'')}}{{sfrac|''d''|''dt''}} {{=}} {{braket|bra|Ψ(''t'')}}''Ĥ''<sup>†</sup>}}
See also
- Template:Braket/sandbox
- {{rangle}}
- {{langle}}