Over finite-dimensional Hilbert spaces, they can be generated using PPB-truncation or LT-truncation. In one system, the eigenvalue expansion of one of these has coefficients of alpha to the n over the square root of n factorial times exponent of negative mod alpha-squared over 2. The quasiprobability distribution with observables written in normal order is one in which the density matrix is diagonal over the basis of these; that is the (*) Glauber-Sudarshan P representation. They form an overcomplete set and are not necessarily orthogonal. Applying the displacement operator to the ground state generates one of these, and these states are more generally the eigenstate
Over finite-dimensional Hilbert spaces, they can be generated using PPB-truncation or LT-truncation. In one system, the eigenvalue expansion of one of these has coefficients of alpha to the n over the square root of n factorial times exponent of negative mod alpha-squared over 2. The quasiprobability distribution with observables written in normal order is one in which the density matrix is diagonal over the basis of these; that is the (*) Glauber-Sudarshan P representation. They form an overcomplete set and are not necessarily orthogonal. Applying the displacement operator to the ground state generates one of these, and these states are more generally the eigenstates of the annihilation operator. These states have real and imaginary parts proportional to the average position and momentum, and they have the minimal amount of uncertainty allowed by the Heisenberg uncertainty principle. For 10 points, name these quantum states which approximate the corresponding classical state.
Over finite-dimensional Hilbert spaces, they can be generated using PPB-truncation or LT-truncation.
coherent state