This yields non-trivial examples of quantum integrable systems, an exact quantization formula for the spectrum, and a convergence criterion for the Birkhoff normal form, valid for perturbations holomorphic away from the origin.
In the next section we give basic ingredient of exact quantization rule and all necessary formulas for our calculations.
By using the Pekeris-type approximation, to deal with the centrifugal term, we obtain the bound-state solutions of the radial Schrödinger equation with this typical molecular model via the exact quantization rule (EQR).
The bound state solution of this potential has been found in an arbitrary D-dimension via the improved exact quantization rule.
Einstein introduced quantization of the radiation field; Born added quantized mechanical behavior.
Possible topics include identical particles, many electron atoms, second quantization, quantization of the electromagnetic field, scattering of complex systems, radiative transitions, and introduction to the Dirac equation.
The amount of quantization of the mantissa determines the table size and therefore the accuracy.
The quantization of the orientation of the angular momentum vector was confirmed in an experiment in 1922 by other German physicists, Otto Stern and Walther Gerlach.
Wüthrich (2005, pp. 779 80) has argued that the very existence of approaches to quantum gravity that do not involve the quantization of the gravitational field means that quantization of the gravitational field has to be a contingent matter.
Quantization of the Hall effect is one of the most surprising discoveries in recent experimental solid-state research.
Dirac's work was the foundation of quantum electrodynamics, i.e., the quantization of the electromagnetic field itself.
