Results 11 to 20 of about 67,904 (284)

A correlation between two pairs of linear relations and dissipative extensions of some nondensely defined symmetric operators

Karpatsʹkì Matematičnì Publìkacìï, 2013
A general form of a maximal dissipative subspace extension (in particularly of an operator extension) of a finite-dimensional nondensely defined restriction of a symmetric operator with arbitrary defect numbers is established.
O. G. Storozh
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Generators with a closure relation [PDF]

, 2013
Assume that a block operator of the form $\left(\begin{smallmatrix}A_{1}\\A_{2}\quad 0\end{smallmatrix}\right)$, acting on the Banach space $X_{1}\times X_{2}$, generates a contraction $C_{0}$-semigroup. We show that the operator $A_{S}$ defined by $A_{S}
Schwenninger, Felix, Zwart, Hans
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Dissipative flow equations

SciPost Physics, 2020
We generalize the theory of flow equations to open quantum systems focusing on Lindblad master equations. We introduce and discuss three different generators of the flow that transform a linear non-Hermitian operator into a diagonal one. We first test
Lorenzo Rosso, Fernando Iemini, Marco Schirò, Leonardo Mazza
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Bi-Variationality, Symmetries and Approximate Solutions

Современная математика: Фундаментальные направления, 2021
By a bi-variational system we mean any system of equations generated by two different Hamiltonian actions. A connection between their variational symmetries is established. The effective use of the nonclassical Hamiltonian actions for the construction of
V. M. Filippov, V. M. Savchin, S. A. Budochkina   +2 more
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Functional Model of Dissipative Fourth Order Differential Operators

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
In this paper, maximal dissipative fourth order operators with equal deficiency indices are investigated. We construct a self adjoint dilation of such operators.
Tuna Hüseyin
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Exact density matrix elements for a driven dissipative system described by a quadratic Hamiltonian

Scientific Reports, 2021
For a prototype quadratic Hamiltonian describing a driven, dissipative system, exact matrix elements of the reduced density matrix are obtained from a generating function in terms of the normal characteristic functions.
Sh. Saedi, F. Kheirandish
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Scattering Theory for Open Quantum Systems [PDF]

, 2006
Quantum systems which interact with their environment are often modeled by maximal dissipative operators or so-called Pseudo-Hamiltonians. In this paper the scattering theory for such open systems is considered.
Behrndt, J., Malamud, M. M., Neidhardt, H.   +2 more
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Hyperbolic ring based formulation for thermo field dynamics, quantum dissipation, entanglement, and holography

European Physical Journal C: Particles and Fields, 2020
The classical and quantum formulations for open systems related to dissipative dynamics are constructed on a complex hyperbolic ring, following universal symmetry principles, and considering the double thermal fields approach for modeling the system of ...
R. Cartas-Fuentevilla, J. Berra-Montiel, O. Meza-Aldama   +2 more
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Description of Maximally Dissipative Quasi-Differential Operators for First Order

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
In thiswork, the general form of maximally dissipative extensions of the minimaloperator generated by first order linear symmetric quasi-differentialexpression in the weighted Hilbert space of vector-functions at rightsemi-infinite interval has been ...
Pembe Ipek Al
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Operator growth and Krylov construction in dissipative open quantum systems

Journal of High Energy Physics, 2022
Inspired by the universal operator growth hypothesis, we extend the formalism of Krylov construction in dissipative open quantum systems connected to a Markovian bath.
Aranya Bhattacharya, Pratik Nandy, Pingal Pratyush Nath, Himanshu Sahu   +3 more
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