hilbert space (Meaning)
Wordnet
hilbert space (n)
a metric space that is linear and complete and (usually) infinite-dimensional
Synonyms & Antonyms of hilbert space
No Synonyms and anytonyms found
hilbert space Sentence Examples
- In quantum mechanics, the state of a system is described by a wave function that evolves in a Hilbert space.
- The Hilbert space for a quantum system is an infinite-dimensional vector space with an inner product.
- Operators on a Hilbert space represent physical quantities, such as position and momentum.
- The spectrum of an operator on a Hilbert space corresponds to the possible outcomes of a measurement.
- The Schrödinger equation governs the time evolution of a wave function in a Hilbert space.
- The theory of Hilbert spaces provides the mathematical framework for quantum mechanics.
- The uncertainty principle can be expressed in terms of the distance between vectors in a Hilbert space.
- Entanglement is a phenomenon in which two or more systems share a common Hilbert space.
- The concept of a Hilbert space is also used in other areas of physics, such as statistical mechanics and quantum field theory.
- The Hilbert space formulation of quantum mechanics has revolutionized our understanding of the microscopic world.
FAQs About the word hilbert space
a metric space that is linear and complete and (usually) infinite-dimensional
No synonyms found.
No antonyms found.
In quantum mechanics, the state of a system is described by a wave function that evolves in a Hilbert space.
The Hilbert space for a quantum system is an infinite-dimensional vector space with an inner product.
Operators on a Hilbert space represent physical quantities, such as position and momentum.
The spectrum of an operator on a Hilbert space corresponds to the possible outcomes of a measurement.
