6533b7d0fe1ef96bd125b98c

RESEARCH PRODUCT

Propagators for Particles in an External Magnetic Field

Walter DittrichMartin Reuter

subject

PhysicsQuantum electrodynamicsPath integral formulationPropagatorOrder (ring theory)Scalar bosonWave functionMathematical physicsMagnetic field

description

In order to describe the propagation of a scalar particle in an external potential, we begin again with the path integral $$ K(r',t';r,0) = \int_{r,(0)}^{r',(t')} {[dr(t)]} \exp \left\{ {\frac{{\text{i}}} {\hbar }S[r(t)]} \right\} $$ (1) with $$ S[r(t)] = \int_0^{t'} {dt} L(r,\dot r). $$

https://doi.org/10.1007/978-3-319-58298-6_22