The subject that appeals to me is quantum mechanics and

particle physics. What interests me is the electron spin; to understand the

measurement of electron spin magnetic moment, Zeeman energy and hyperfine

structure splittings. Since the discovery of electron spin there has been

various attempts to understand anomalous Zeeman Effect and fine structure splitting’s

which is a direct consequence of electrons magnetic moment and orbital angular momentum.

This was done by taking the electron spin orbit effect but there has been an anomaly

in calculations of hydrogen fine splitting’s using g-factor (dimensionless magnetic moment) and the

problem occurs, if electron is considered as a classical sphere, the velocities

would be much larger than the speed of light and nothing can travel faster than

the speed of light as given by the special theory of relativity.

Later this has been further

given a correction by quantum electrodynamics using quantum

electrodynamic radiative effects but it has also ended up in an anomaly which

is termed as (ae).

The g factor and the anomaly have a relationship and they are related by an equation.

This anomaly ae can be reduced and as we know over decades physicists

has got an increase in precision in uncertainty of ae magnitude. This anomaly has a major

effect on axial frequency shifts or the anomaly frequencies of electron and

positrons I hope to work and get a more precise value of this anomaly using the

internship.

My concern is how we

can we calculate the precise measurement of magnetic moment and to reduce the uncertainty

in the anomaly of axial frequency shifts. I would like to learn how the uncertainty in precision

of the anomaly values can be increased using ultra cold beam of particles.

Further laser-atomic beam measurement of the fine structure splitting that can

help us in achieving a precise value of ae, as indicated in the theory of

quantum electrodynamics.