Suman Chatterjee DHEP

÷

Plan of Work

I've planned to edit the wikipedia page on Magnetic resonance. I want to proceed by discussing following points -

1. What is Magnetic Resonane(i.e. basic physical idea)

2. Mechanism behind this with the help of Quantum Mechanics, (here I will use idea of Hilbert space, Pauli spin matrices, Rotational operator to transform time-dependent hamiltonian to time independent frame, Rabi oscillation, etc; but I will not discuss the details of perturbation theory.)

3. A brief argument from the point of view of semi-classical theory, and where it differs from quantum mechanical explanation and experimental reults.

4. Some applications of magnetic resonance to various cases, for example- to determine of life time of unstable states,to determine magnetic field experienced by a nucleus inside a molecule or crystal lattice

5. Application of magnetic resonance by Rabi to measure spin magnetic moment of atomic electrons or nuclear spin, an improvement over Stern-Gerlach apparatus.

As the name sounds, 'Magnetic resonance' is a phenomena concerning magnet or specifically magnetic dipole , when placed in a uniform static magnetic field , its energy is split up into a finite no. of energy levels, depending on the value of quantum no. of angular momentum. This is similar to energy quantization for atoms, say
e⁻
in H atom; in this case atom, in interaction to external electric field, makes transition between different energy levels by absorbing or emitting photons. Similarly if a magnetic dipole is perturbed with e.m. field of proper frequency($E/{h}\,$), then it can also transit between its energy eigenstates, but as here separation between energy eigenvalues are small, frequency of photon will be microwave or radio frequency range. It will be shown that if the dipole is tickled with another frequency field, it is unlikely for transition. This phenomena is very similar to that, when a system is acted by a periodic force of freq.,equal to its natural frequency. Magnetic resonance phenomena introduced new era in precision measurements.

October 2014

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Thanks , I,Suman Chatterjee,have rectified it.

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Your contributed article, Magnetic resonance (Quantum Mechanics)

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Fortifying wikiquanta

Hi, I seek volunteers for this. Boris Tsirelson (talk) 17:43, 15 April 2016 (UTC)