scholarly journals Characteristic operator functions for quantum input-plant-output models and coherent control

2015 ◽  
Vol 56 (1) ◽  
pp. 013506 ◽  
Author(s):  
John E. Gough
Keyword(s):  
Coherent Control ◽  
Characteristic Operator ◽  
Operator Functions

About the general solution of a linear homogeneous differential equation in a Banach space in the case of complex characteristic operators

2019 ◽  
pp. 211-217 ◽  
Author(s):  
Vasiliy. I Fomin
Keyword(s):  
Differential Equation ◽  
Banach Space ◽  
General Solution ◽  
Operator Equation ◽  
Bounded Operator ◽  
Characteristic Operator ◽  
Homogeneous Differential Equation ◽  
Operator Functions ◽  
Linear Homogeneous Differential Equation ◽  
Real Argument

A linear inhomogeneous differential equation (LIDE) of the n th order with constant bounded operator coefficients is studied in Banach space. Finding a general solution of LIDE is reduced to the construction of a general solution to the corresponding linear homogeneous differential equation (LHDE). Characteristic operator equation for LHDE is considered in the Banach algebra of complex operators. In the general case, when both real and complex operator roots are among the roots of the characteristic operator equation, the n -parametric family of solutions to LHDE is indicated. Operator functions eAt ; sinBt ; cosBt of real argument t ∈ [0;∞) are used when building this family. The conditions under which this family of solutions form a general solution to LHDE are clarified. In the case when the characteristic operator equation has simple real operator roots and simple pure imaginary operator roots, a specific form of such conditions is indicated. In particular, these roots must commute with LHDE operator coefficients. In addition, they must commute with each other. In proving the corresponding assertion, the Cramer operator-vector rule for solving systems of linear vector equations in a Banach space is applied

Unitary Systems and Characteristic Operator Functions

1993 ◽  
pp. 700-786
Author(s):  
I. Gohberg ◽  
M. A. Kaashoek ◽  
S. Goldberg
Keyword(s):  
Characteristic Operator ◽  
Operator Functions

HIGH-RESOLUTION ROTATIONAL SPECTROSCOPY AND COHERENT CONTROL OF CaH+

2019 ◽  
Author(s):  
Chin-wen Chou ◽  
David Leibrandt ◽  
Dietrich Leibfried ◽  
Scott Diddams ◽  
Tara Fortier ◽  
...  
Keyword(s):  
High Resolution ◽  
Coherent Control ◽  
Rotational Spectroscopy

Coherent Control of Semiconductor Quantum Wire by High-Resolution and Stable Michelson Interferometer

2008 ◽  
Vol 128 (6) ◽  
pp. 285-291
Author(s):  
Takumi Okada ◽  
Kazuhiro Komori ◽  
Xue-Lun Wang ◽  
Mutsuo Ogura ◽  
Noriaki Tsurumachi
Keyword(s):  
High Resolution ◽  
Quantum Wire ◽  
Coherent Control ◽  
Michelson Interferometer
Sign in / Sign up

Export Citation Format

Share Document