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Electrodynamics-based quantum gate optimization with born scattering. [PDF]
Sci RepGautam K, Ahn CW.
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Quantum-mechanical perturbation theory
Reports on Progress in Physics, 1977Modern computers have made possible the evaluation of higher order terms of perturbation series. Apart from the empirical work involving numerical calculations, much formal mathematical work has been done on the convergence properties of perturbation series and of Pade approximants which represent them. Some of the modern work in perturbation theory is
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Old quantum mechanics and perturbation theory
American Journal of Physics, 1985Two physical systems—the particle in a double rectangular well and the anharmonic oscillator—are treated in the Bohr–Sommerfeld–Wilson semiclassical theory. The results agree with the Van Vleck perturbation theory.
Jean Sivardière, Elie Belorizky
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Perturbation theory on generalized quantum mechanical systems
Physica A: Statistical Mechanics and its Applications, 1994Abstract We present a general formalism for doing the perturbation theory in the complex energy plane, where the notion of the generalized quantum mechanical systems is used. This formalism is applied to the Friedrichs-Lee model. It reproduces the results of the exact solution, where the spectrum of the generalized quantum mechanical system consists ...
E.C.G. Sudarshan +2 more
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Successive approximation; perturbation theory in quantum mechanics
2021Abstract“Successive approximation; perturbation theory in quantum mechanics” introduces a toolbox for handling successive-approximation problems in any context. An iterative procedure is presented with examples. Newton's approximation is also an iterative procedure, but often other methods are better.
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Projection Operators in Quantum-Mechanical Perturbation Theory
The Journal of Chemical Physics, 1965The construction of operator functionals of the full Hamiltonian of a quantum-mechanical system which act as projection operators for a specified exact eigenstate is studied. In general these operator functionals are not equivalent to the formal operator |ψ〉〈ψ|, where |ψ〉 is the state of interest, and are not always idempotent. A formal method by which
W. R. Salzman, M. E. Baur
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Exact perturbation theory for quantum-mechanical systems within boxes
Physical Review A, 1992We apply perturbation theory to the Schrodinger equation for a system caged in a one-dimensional box with impenetrable walls and show how to obtain the perturbation corrections to both the energy eigenvalues and eigenfunctions in a systematic exact way when the potential function within the box is a polynomial.
, Fernández, , Castro
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Zel'dovich's method of perturbation theory in quantum mechanics
Journal of Physics A: Mathematical and General, 1999Summary: Many years ago Zel'dovich showed how the Lagrange condition in the theory of differential equations can be utilized in the perturbation theory of quantum mechanics. Zel'dovich's method enables us to circumvent the summation over intermediate states.
Coutinho, FAB, Nogami, Y., Tomio, L.
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