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2014•Zenodo (CERN European Organization for Nuclear Research)Open access

Treatment Of Spin-1/2 Particle In Interaction With A Time-Dependent Magnetic Field By The Fermionic Coherent-State Path-Integral Formalism

Mekki Aouachria

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Abstract

We consider a spin-1/2 particle interacting with a time-dependent magnetic field using path integral formalism. The propagator is first of all written in the standard form replacing the spin by two fermionic oscillators via the Schwinger model. The propagator is then exactly determined, thanks to a simple transformation, and the transition probability is deduced.

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What this paper is about

We consider a spin-1/2 particle interacting with a time-dependent magnetic field using path integral formalism. The propagator is first of all written in the standard form replacing the spin by two fermionic oscillators via the Schwinger model. The propagator is then exactly determined, thanks to a simple transformation, and the transition probability is deduced.

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Available abstract

We consider a spin-1/2 particle interacting with a time-dependent magnetic field using path integral formalism. The propagator is first of all written in the standard form replacing the spin by two fermionic oscillators via the Schwinger model. The propagator is then exactly determined, thanks to a simple transformation, and the transition probability is deduced.

Key concepts: Propagator, Path integral formulation, Formalism (music), Physics, Coherent states, Magnetic field, Quantum mechanics, Mathematical physics

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