Physics:Quantum methods/perturbation

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Perturbation theory is a mathematical method used to approximate the behavior of a quantum system by starting from a solvable system and adding a small interaction.

Perturbation theory expands solutions in powers of a small parameter.

Overview

Many quantum systems cannot be solved exactly. Perturbation theory provides approximate solutions by expanding in a small parameter.

Types

  • Time-independent perturbation theory
  • Time-dependent perturbation theory

Applications

Used in atomic physics, quantum chemistry, and particle physics.

Description

perturbation is a method or conceptual tool used to formulate, calculate, measure, or interpret quantum systems. In the Quantum Collection it is treated as part of the practical vocabulary that connects mathematical formalism with experiments, simulation, and data analysis.

Use in quantum work

The method helps define how states, observables, transformations, or measurement outcomes are represented. It is often used together with Hilbert-space notation, operators, probability amplitudes, and uncertainty estimates, depending on the problem being studied.

Connections

perturbation connects to the broader structure of quantum mechanics, measurement theory, and, where applicable, quantum information theory. It is useful as a bridge between abstract formalism and concrete calculations.[1]

See also

Table of contents (49 articles)

Index

Full contents

References


Author: Harold Foppele


Source attribution: Physics:Quantum methods/perturbation