scholarly journals Coherent states on quaternion slices and a measurable field of Hilbert spaces

2016 ◽  
Vol 110 ◽  
pp. 233-247 ◽  
Author(s):  
B. Muraleetharan ◽  
K. Thirulogasanthar
Keyword(s):  
Hilbert Spaces ◽  
Coherent States ◽  
Measurable Field

scholarly journals NON-HERMITIAN OSCILLATOR-LIKE HAMILTONIANS AND λ-COHERENT STATES REVISITED

2001 ◽  
Vol 16 (02) ◽  
pp. 91-98 ◽  
Author(s):  
JULES BECKERS ◽  
NATHALIE DEBERGH ◽  
JOSÉ F. CARIÑENA ◽  
GIUSEPPE MARMO
Keyword(s):  
Harmonic Oscillator ◽  
Hilbert Spaces ◽  
Coherent States ◽  
Scalar Product ◽  
Points Of View ◽  
Usual Scalar ◽  
Usual Scalar Product

Previous λ-deformed non-Hermitian Hamiltonians with respect to the usual scalar product of Hilbert spaces dealing with harmonic oscillator-like developments are (re)considered with respect to a new scalar product in order to take into account their property of self-adjointness. The corresponding deformed λ-states lead to new families of coherent states according to the DOCS, AOCS and MUCS points of view.

scholarly journals Coherent states in projected Hilbert spaces

2016 ◽  
Vol 94 (6) ◽  
Author(s):  
P. D. Drummond ◽  
M. D. Reid
Keyword(s):  
Hilbert Spaces ◽  
Coherent States
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