Matrix Perturbation Method in Quantum Mechanics, Hardcover by Soto-eguibar, F...

by Francisco Soto-Eguibar, Héctor Manuel Moya-Cessa, Braulio Misael Villegas-Martínez

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Matrix Perturbation Method in Quantum Mechanics, Hardcover by Soto-eguibar, Francisco; Villegas-martínez, Braulio Misael; Moya-cessa, Héctor Manuel, ISBN 3031485459, ISBN-13 9783031485459, Like New Used, Free shipping in the US This 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 th, several benchmark examples and practical applications underscore the potential, accuracy and goo

• Publisher: Springer International Publishing A&G
• Year: 2024
• ISBN: 9783031485459
• Condition: Fine

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