scholarly journals Lattice Theory for Finite Dimensional Hilbert Space with Variables in Z<sub>d</sub>

2019 ◽  
Vol 09 (02) ◽  
pp. 111-121
Author(s):  
Semiu Oladipupo Oladejo ◽  
Adediran Dauda Adeshola ◽  
Adedayo David Adeniyi
Keyword(s):  
Hilbert Space ◽  
Lattice Theory ◽  
Finite Dimensional ◽  
Dimensional Hilbert Space ◽  
Finite Dimensional Hilbert Space

NONCLASSICAL EFFECTS OF THE STATES GENERATED BY EXCITATIONS ON A COHERENT STATE OF A HARMONIC OSCILLATOR IN A FINITE-DIMENSIONAL HILBERT SPACE

2005 ◽  
Vol 19 (16) ◽  
pp. 779-784
Author(s):  
YUAN-XING LI ◽  
QIN-MEI WANG ◽  
JING-BO XU
Keyword(s):  
Hilbert Space ◽  
Coherent State ◽  
Harmonic Oscillator ◽  
Physical Properties ◽  
The State ◽  
Photon Statistics ◽  
Finite Dimensional ◽  
Dimensional Hilbert Space ◽  
Finite Dimensional Hilbert Space

The mathematical and physical properties of the states which are generated by excitations on the coherent state of a harmonic oscillator in a finite-dimensional Hilbert space are studied. It is shown that the state exhibits squeezing in one of the quadratures of the field and sub-Poissonian photon statistics.

scholarly journals Frame for operators in finite dimensional hilbert space

2018 ◽  
Vol 49 (1) ◽  
pp. 35-48
Author(s):  
Mohammad Janfada ◽  
Vahid Reza Morshedi ◽  
Rajabali Kamyabi Gol
Keyword(s):  
Hilbert Space ◽  
Hilbert Spaces ◽  
Dual Frames ◽  
Finite Dimensional ◽  
Dimensional Hilbert Space ◽  
Finite Dimensional Hilbert Space

In this paper, we study frames for operators ($K$-frames) in finite dimensional Hilbert spaces and express the dual of $K$-frames. Some properties of $K$-dual frames are investigated. Furthermore, the notion of their oblique $K$-dual and some properties are presented.

Quantum phase for an arbitrary system with finite-dimensional Hilbert space

2012 ◽  
Vol 85 (4) ◽  
Author(s):  
Dušan Arsenović ◽  
Nikola Burić ◽  
Dragomir Davidović ◽  
Slobodan Prvanović
Keyword(s):  
Hilbert Space ◽  
Quantum Phase ◽  
Arbitrary System ◽  
Finite Dimensional ◽  
Dimensional Hilbert Space ◽  
Finite Dimensional Hilbert Space
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