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Propagator Beyond and at Caustics for a Harmonically Bound Charged Particle in a Constant Magnetic Field
並列摘要
From the propagator obtained by Papadopolous, we first extend it beyond caustics by applying Horvithy-Feynman path integral formula for the forced harmonic oscillator with memory. The propagator at caustics is then evaluated by using its modified semi-group property. Finally, our new results are confirmed by investigating the classical paths joining the two fixed end-point positions.
並列關鍵字
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- Fleming, J. L., & Moser, J. (2009). A Fourier Approach to Model Electromagnetic Fields Scattered by a Buried Rectangular Cavity. Mathematical Problems in Engineering, 2009(), 1409-1430-185. https://doi.org/10.1155/2009/937327
- Cafaro, C., Capozziello, S., Corda, C., & Ali, S. A. (2007). Can Magnetic Monopoles and Massive Photons Coexist in the Framework of the Same Classical Theory?. Advances in High Energy Physics, 2007(), d1-14. https://doi.org/10.1155/2007/69835
- 柳銘哲（2015）。The motion of a charged particle in a slow-varying magnetic field in the space。加馬，(46)，37-46。https://www.airitilibrary.com/Article/Detail?DocID=a0000119-201507-201509040001-201509040001-37-46
- Hung, S. L., & Leong, J. C. (2012). Effects of Regional Magnetic Field on Rotating MHD Flow Field of Unity Magnetic Prandtl Number. Journal of Applied Mathematics, 2012(), 951-967-656. https://doi.org/10.1155/2012/804105
- Sogut, K., & Havare, A. (2014). Spinless Particles in Exponentially Varying Electric and Magnetic Fields. Advances in High Energy Physics, 2014(), 805-811. https://doi.org/10.1155/2014/493120