nLab quantum superposition




physics, mathematical physics, philosophy of physics

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theory (physics), model (physics)

experiment, measurement, computable physics



In quantum theory the state of a physical system is given by a vector in a complex vector space (usually a Hilbert space). This means that given any two states ψ 1\psi_1 and ψ 2\psi_2, also their sum as vectors ψ 1+ψ 2\psi_1 + \psi_2 is represents a state. This is called the quantum superposition of the two states.

Since/if these quantum states are thought of as wavefunctions solving linear differential equations such as the Schroedinger equation, Dirac equation, Klein-Gordon equation or Tomonaga-Schwinger equation, their quantum superposition is an example of the general principle of superposition of solutions to linear differential equations.

The concept of quantum superposition is at the heart of what makes quantum physics peculiar, notably via the phenomenon of entanglement.

quantum probability theoryobservables and states


See also

Last revised on May 24, 2022 at 23:37:11. See the history of this page for a list of all contributions to it.