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Self-adjoint operators and solving the Schrödinger equation
Self-adjoint operators and solving the Schrödinger equation

... cos(xj ) Fd−1 . ...
Critical parameters for the heliumlike atoms: A phenomenological
Critical parameters for the heliumlike atoms: A phenomenological

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... In result, the best examined motions could be classified as belonging to two domains. One of them concerned the periodic motions where the body returns to its original position after some period of time, another domain of mechanics considered typical progressive motions in space and time. For this s ...
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Chapter 3 Symmetry in quantum mechanics

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Perturbation theory (quantum mechanics)

In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for which a mathematical solution is known, and add an additional ""perturbing"" Hamiltonian representing a weak disturbance to the system. If the disturbance is not too large, the various physical quantities associated with the perturbed system (e.g. its energy levels and eigenstates) can be expressed as ""corrections"" to those of the simple system. These corrections, being small compared to the size of the quantities themselves, can be calculated using approximate methods such as asymptotic series. The complicated system can therefore be studied based on knowledge of the simpler one.
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