Finite-dimensional quantum optics

Before concluding this sketch of optical phases and passing on to our next topic, the status of the phase in the representation of observables as quantum mechanical operators, we wish to call attention to the theoretical demonstration, provided in [129], that any (discrete, finite dimensional) operator can be constructed through use of optical devices only. 

Interband optical transitions in quantum wells are governed by selection rules determined by the symmetry of the wavefimctions. In an ideal one-dimensional potential well, only transitions between levels of identical quantum number would be allowed. In a real quasi-two-dimensional quantum well, band mixing for finite wave vectors within the layer plane leads to a weakening of the selection rule, so that transitions with An 0 may show up in optical spectra. 

QUANTUM-OPTICAL STATES IN FINITE-DIMENSIONAL HILBERT SPACE I. GENERAL FORMALISM... 

QUANTUM-OPTICAL STATES IN FINITE-DIMENSIONAL HILBERT SPACE 187 In particular, for s = 2,..., 7, we have... 

W. Leonski and A. Miranowicz, Quantum-optical states in finite-dimensional Hilbert space. II. State generation, Chapter 4, this volume. 

As it was mentioned in the first part of this study [1], the finite-dimensional (FD) quantum-optical states have been a subject of numerous papers. For instance,... 

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