Search results
Results from the WOW.Com Content Network
More precisely, the Hartle-Hawking state is a hypothetical vector in the Hilbert space of a theory of quantum gravity that describes the wave function of the universe.. It is a functional of the metric tensor defined at a (D − 1)-dimensional compact surface, the universe, where D is the spacetime dimension.
A quantum state in the Fock space is called a Fock state if it is an element of the occupancy number basis. A Fock state satisfies an important criterion: for each i, the state is an eigenstate of the particle number operator ^ corresponding to the i-th elementary state k i. The corresponding eigenvalue gives the number of particles in the state.
In quantum mechanics a state space is a separable complex Hilbert space.The dimension of this Hilbert space depends on the system we choose to describe. [1] [2] The different states that could come out of any particular measurement form an orthonormal basis, so any state vector in the state space can be written as a linear combination of these basis vectors.
The absolutely maximally entangled (AME) state is a concept in quantum information science, which has many applications in quantum error-correcting code, [1] discrete AdS/CFT correspondence, [2] AdS/CMT correspondenc e, [2] and more. It is the multipartite generalization of the bipartite maximally entangled state.
A simple criterion for checking whether a density matrix is describing a pure or mixed state is that the trace of ρ 2 is equal to 1 if the state is pure, and less than 1 if the state is mixed. [ d ] [ 22 ] Another, equivalent, criterion is that the von Neumann entropy is 0 for a pure state, and strictly positive for a mixed state.
A bound state is a composite of two or more fundamental building blocks, such as particles, atoms, or bodies, ...
In functional analysis, a state of an operator system is a positive linear functional of norm 1. States in functional analysis generalize the notion of density matrices in quantum mechanics, which represent quantum states , both mixed states and pure states .
A bound state in the continuum (BIC) is an eigenstate of some particular quantum system with the following properties: Energy lies in the continuous spectrum of propagating modes of the surrounding space; The state does not interact with any of the states of the continuum (it cannot emit and cannot be excited by any wave that came from the ...