We have on several occasions mentioned that truly Keplerian orbits are essentially nonexistent and have given methods for analyzing some of the perturbations to Keplerian orbits that are important in ...

Perturbation methods are used to provide approximate solutions of nonlinear problems characterized by the presence of a small parameter. These approximations represent an asymptotic series expansion ...

This course teaches commonly used approximation methods in quantum mechanics. They include time-independent perturbation theory, time-dependent perturbation theory, tight binding method, variational ...

A recent study, led by Sabre Kais, Distinguished Professor of Chemistry and professor of electrical and computer engineering at Purdue University, and IBM’s Barbara Jones, used a quantum computer to ...

Asymptotic expansions of integrals. Regular and singular perturbation methods for ordinary and partial differential equations. Boundary layer theory. Matched asymptotic expansions. Homogenization. Two ...

The Bernoulli shift map is a well-known chaotic map in chaos theory. For a binary system, however, the output is not chaotic and converges to zero instead. One way to prevent this is by perturbing the ...