Unitary Representations of Quantum Superpositions of two Coherent States and beyond

Antonino Messina; Gheorghe Draganescu

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arXiv · 1306.2524

Unitary Representations of Quantum Superpositions of two Coherent States and beyond

Antonino Messina·Gheorghe Draganescu

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Abstract

The construction of a class of unitary operators generating linear superpositions of generalized coherent states from the ground state of a quantum harmonic oscillator is reported. Such a construction, based on the properties of a new ad hoc introduced set of hermitian operators, leads to the definition of new basis in the oscillator Hilbert space, extending in a natural way the displaced Fock states basis. The potential development of our method and our results is briefly outlined.

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Antonino Messina, Gheorghe Draganescu. 2013-06-12. Unitary Representations of Quantum Superpositions of two Coherent States and beyond. https://arxiv.org/abs/1306.2524

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