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Path-integral formulation of multiple scattering problems in integrated optics
Applied Optics, 1986Path integration is presented as an alternative method of solving multiple scattering problems in integrated optics. The method is first derived from coupled-wave theory by using thin-section decomposition and the properties of transmission matrices.
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Path integral formulation of evolving ecosystems
1999The master equation of an ecosystem in evolution on a static fitness landscape can be written as a sum over all possible phylogenetic generations of individuals. Such a time trajectory represents alternating phases of selection (the fitness landscape) and mutation (during reproduction).
BAGNOLI, FRANCO, Michele Bezzi
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Wavepacket path integral formulation of semiclassical dynamics
Chemical Physics Letters, 1975Abstract The “quantum trajectory” wavepacket approach to semiclassical collision dynamics is generalized to include effects which cause distortion of initially gaussian wavepackets. The generalization takes the form of a discrete phase space path “integral” or sum.
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The Path Integral Formulation of QM
2019The Feynman Path Integral formulation for propagator amplitudes is developed. The path integral for the Harmonic Oscillator is evaluated.
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Path integral formulation of quantum mechanics
In this article, we present a rigorous introduction to Feynman’s path integral formulation of quantum mechanics. We start by outlining the motivation behind the path integral formulation of quantum mechanics. Then we build the mathematics required for defining the sum-over-paths and derive the free particle propagator, as well as the propagator for a ...openaire +1 more source
An overview of real‐world data sources for oncology and considerations for research
Ca-A Cancer Journal for Clinicians, 2022Lynne Penberthy +2 more
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Path integral formulation for many‐electron system
International Journal of Quantum Chemistry, 1996H. Kawabe, H. Nagao, K. Nishikawa
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Predicting cancer outcomes with radiomics and artificial intelligence in radiology
Nature Reviews Clinical Oncology, 2021Kaustav Bera +2 more
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The mechanisms of integral membrane protein biogenesis
Nature Reviews Molecular Cell Biology, 2021Ramanujan Shankar Hegde, Robert J Keenan
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Electrified water treatment: fundamentals and roles of electrode materials
Nature Reviews Materials, 2023Kuichang Zuo +2 more
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