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101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 14$aThe matrix perturbation method in quantum mechanics / $c Francisco Soto-Eguibar, Braulio Misael Villegas-Marti?nez, He?ctor Manuel Moya-Cessa
210  1$aCham :$cSpringer,$d[2023]
210  4$d©2023
215   $a1 online resource (xv, 190 pages) $cillsutrations
311 08$aPrint version: Soto-Eguibar, Francisco The Matrix Perturbation Method in Quantum Mechanics Cham : Springer International Publishing AG,c2024 9783031485459 
320   $aIncludes bibliographical references and index.
327   $aChapter 1. Standard time-independent perturbation theory -- Chapter 2. Standard time-dependent perturbation theory -- Chapter 3. The matrix perturbation method -- Chapter 4. Examples of the matrix perturbation method -- Chapter 5. Applications of the Matrix Perturbation Method -- Chapter 6. The matrix Perturbation Method for the Lindblad master equation -- Chapter 7. Eliminating the time dependence for a class of time-dependent Hamiltonians.
330   $aThis book provides an alternative approach to time-independent perturbation theory in non-relativistic quantum mechanics. It allows easy application to any initial condition because it is based on an approximation to the evolution operator and may also be used on unitary evolution operators for the unperturbed Hamiltonian in the case where the eigenvalues cannot be found. This flexibility sets it apart from conventional perturbation theory. The matrix perturbation method also gives new theoretical insights; for example, it provides corrections to the energy and wave function in one operation. Another notable highlight is the facility to readily derive a general expression for the normalization constant at m-th order, a significant difference between the approach within and those already in the literature. Another unique aspect of the matrix perturbation method is that it can be extended directly to the Lindblad master equation. The first and second-order corrections are obtained for this equation and the method is generalized for higher orders. An alternative form of the Dyson series, in matrix form instead of integral form, is also obtained. Throughout the book, several benchmark examples and practical applications underscore the potential, accuracy and good performance of this novel approach. Moreover, the method's applicability extends to some specific time-dependent Hamiltonians. This book represents a valuable addition to the literature on perturbation theory in quantum mechanics and is accessible to students and researchers alike.
606   $aPerturbation (Quantum dynamics)
606   $aQuantum theory
606   $aQuantum physics
606   $aMathematical physics
606   $aNumerical analysis
606   $aDifferential equations
606   $aQuantum optics
606   $aQuantum Physics
606   $aMathematical Methods in Physics
606   $aNumerical Analysis
606   $aDifferential Equations
606   $aQuantum Optics
615  0$aPerturbation (Quantum dynamics)
615  0$aQuantum theory.
615  0$aQuantum physics.
615  0$aMathematical physics.
615  0$aNumerical analysis.
615  0$aDifferential equations.
615  0$aQuantum optics.
615 14$aQuantum Physics.
615 24$aMathematical Methods in Physics.
615 24$aNumerical Analysis.
615 24$aDifferential Equations.
615 24$aQuantum Optics.
676   $a530.12
700   $aSoto-Eguibar$b Francisco$01588708
702   $aVillegas-Martínez$b Braulio Misael
702   $aMoya-Cessa$b Héctor Manuel
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910805584803321
996   $aThe Matrix Perturbation Method in Quantum Mechanics$93882716
997   $aUNINA