... The structure of self-adjoint operators on infinite-dimensional Hilbert spaces essentially resemble the finitedimensional case, that is to say, operators are self-adjoint if and only if they are unitarily equivalent to realvalued multiplication operators. With suitable modifications, this result can ...
DY 61.1–61.8 - DPG
... production tolerances. Therefore we have generalized the perturbation theory for microdisk cavities to treat such asymmetric deformations. This allows us to describe interesting non-Hermitian phenomena like copropagation of optical modes in the (counter-)clockwise direction inside the cavity. The de ...
... production tolerances. Therefore we have generalized the perturbation theory for microdisk cavities to treat such asymmetric deformations. This allows us to describe interesting non-Hermitian phenomena like copropagation of optical modes in the (counter-)clockwise direction inside the cavity. The de ...
Lorentz invariance
... theory where classical functions will become operators that may not commute. ...
... theory where classical functions will become operators that may not commute. ...
7-0838-fassihi
... annihilation operators acting on the Hilbert space of quadratic integrable functions with support on this domain. It is easy to see that commutation relations between these creation and annihilation operators are identical to those for unbounded domain and therefore the algebraic structure is not ch ...
... annihilation operators acting on the Hilbert space of quadratic integrable functions with support on this domain. It is easy to see that commutation relations between these creation and annihilation operators are identical to those for unbounded domain and therefore the algebraic structure is not ch ...
Distillability of Inseparable Quantum Systems
... product states). On the other hand, filtering method, cannot be, in general, applied for direct production of singlets. However, intuitively one feels that it should be possible to distill an arbitrary inseparable state. It involves a subtle problem of nonlocality of mixed states satisfying standard ...
... product states). On the other hand, filtering method, cannot be, in general, applied for direct production of singlets. However, intuitively one feels that it should be possible to distill an arbitrary inseparable state. It involves a subtle problem of nonlocality of mixed states satisfying standard ...
Macroscopicity of Mechanical Quantum Superposition States
... The interferometer results (solid and dashed lines) reach the maximum where the critical length scale ~/σq is comparable to the interference path separation. This is where the solid line saturates, in accordance with the CSL results in [26]. The dashed line drops at length scales smaller than the si ...
... The interferometer results (solid and dashed lines) reach the maximum where the critical length scale ~/σq is comparable to the interference path separation. This is where the solid line saturates, in accordance with the CSL results in [26]. The dashed line drops at length scales smaller than the si ...
Problem set 8
... have to be chosen so that the same U transforms I1,2 into L1,2 . [Note: Unlike SU(2), SU(3) has representations of the same dimension which are inequivalent.] (a) h6i Find the unitary transformations U that diagonalize I3 , i.e., U † I3 U = L3 . Recall that the columns of U are the unit norm eigenve ...
... have to be chosen so that the same U transforms I1,2 into L1,2 . [Note: Unlike SU(2), SU(3) has representations of the same dimension which are inequivalent.] (a) h6i Find the unitary transformations U that diagonalize I3 , i.e., U † I3 U = L3 . Recall that the columns of U are the unit norm eigenve ...
