unitarity
Sign in to saveIn quantum physics, unitarity is (or a unitary process has) the condition that the time evolution of a quantum state according to the Schrödinger equation is mathematically represented by a unitary operator. This is typically taken as an axiom or basic postulate of quantum mechanics, while generalizations of or departures from unitarity are part of speculations about theories that may go beyond quantum mechanics. A unitarity bound is any inequality that follows from the unitarity of the evolution operator, i.e. from the statement that time evolution preserves inner products in Hilbert space.
Wikidata facts
Show 1 more fact
- Stack Exchange tag
- physics.stackexchange.com/tags/unitarity
Sources (2)
via Wikidata · CC0
~6 min read
Article
8 sectionsContents
- Hamiltonian evolution
- Implications of unitarity on measurement results
- Implications on the form of the Hamiltonian
- Scattering amplitude and the optical theorem
- Optical theorem
- Unitarity bounds
- See also
- References
In quantum physics, unitarity is (or a unitary process has) the condition that the time evolution of a quantum state according to the Schrödinger equation is mathematically represented by a unitary operator. This is typically taken as an axiom or basic postulate of quantum mechanics, while generalizations of or departures from unitarity are part of speculations about theories that may go beyond quantum mechanics. A unitarity bound is any inequality that follows from the unitarity of the evolution operator, i.e. from the statement that time evolution preserves inner products in Hilbert space.
==Hamiltonian evolution==