Physics:Quantum methods/operator: Difference between revisions
From HandWiki Test
Created page with "{{Short description|Mathematical object representing a physical observable}} {{Quantum methods backlink|Mathematical methods}} An '''operator''' is a mathematical object used in quantum mechanics to represent observables and transformations. == References == {{reflist|3}} {{Author|Harold Foppele}}" |
No edit summary |
||
| Line 3: | Line 3: | ||
{{Quantum methods backlink|Mathematical methods}} | {{Quantum methods backlink|Mathematical methods}} | ||
An '''operator''' is a mathematical object | An '''operator''' is a mathematical object that acts on a [[Physics:Quantum methods/basis|basis]] or state to produce another state. In quantum theory, operators represent physical quantities such as position, momentum, and energy. | ||
== References | <div style="float:right; border:1px solid #e0d890; background:#fff8cc; padding:6px; margin:0 0 1em 1em; width:320px;"> | ||
[[File:Quantum_operator.png|300px]] | |||
<div style="font-size:90%;">Operators act on states to produce measurable quantities.</div> | |||
</div> | |||
== Description == | |||
Operators encode the measurable properties of a system. Applying an operator to a state yields information about the corresponding physical quantity. | |||
== Properties == | |||
* acts on states or functions | |||
* represents observables | |||
* central to quantum formalism | |||
=See also= | |||
{{#invoke:PhysicsQC|tocHeadingAndList|Physics:Quantum basics/See also}} | |||
=References= | |||
{{reflist|3}} | {{reflist|3}} | ||
{{Author|Harold Foppele}} | {{Author|Harold Foppele}} | ||
{{Sourceattribution|Physics:Quantum methods/operator|1}} | |||
Revision as of 09:12, 9 May 2026
An operator is a mathematical object that acts on a basis or state to produce another state. In quantum theory, operators represent physical quantities such as position, momentum, and energy.
Operators act on states to produce measurable quantities.
Description
Operators encode the measurable properties of a system. Applying an operator to a state yields information about the corresponding physical quantity.
Properties
- acts on states or functions
- represents observables
- central to quantum formalism
See also
Table of contents (217 articles)
Index
Core theory
Applications and extensions
Full contents
1. Foundations (14) Back to index
2. Conceptual and interpretations (14) Back to index
3. Mathematical structure and systems (15) Back to index
4. Atomic and spectroscopy (14) Back to index
5. Wavefunctions and modes (9) Back to index
6. Quantum dynamics and evolution (21) Back to index
7. Measurement and information (9) Back to index
8. Quantum information and computing (15) Back to index
102. Physics:Quantum BB84
9. Quantum optics and experiments (10) Back to index
10. Open quantum systems (15) Back to index
11. Quantum field theory (23) Back to index
12. Statistical mechanics and kinetic theory (9) Back to index
13. Condensed matter and solid-state physics (17) Back to index
181. Physics:Quantum well
186. Physics:Quantum dot
14. Plasma and fusion physics (8) Back to index
15. Timeline (8) Back to index
16. Advanced and frontier topics (16) Back to index
References
Author: Harold Foppele
Source attribution: Physics:Quantum methods/operator
