Molecular collisions, photoionization and dynamics: honouring Professor Vincent McKoy

Bettega, M. H. F.; Buckman, Stephen; Khakoo, M. A.; Limão-Vieira, P.; Varella, Márcio T. do N.

doi:10.1140/epjd/s10053-022-00391-w

Cited by 2 publications

(2 citation statements)

References 30 publications

(28 reference statements)

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“…Let us assume that a small Gaussian packet represents that an electron is approaching the panel. This is essentially a matter of quantum theory of electron scattering by molecules [50][51][52] to determine where and when the incident electrons can be captured as a process of electron attachment photoemission. However, the theory presented in section 2 does not include such measurement process.…”

Section: Mesoscopic Shrink Of a Gaussian Wavepacket Without Instantan...mentioning

confidence: 99%

Schrödinger dynamics in length-scale hierarchy: from spatial rescaling to Huygens-like proliferation of Gaussian wavepackets

Takatsuka

2023

J. Phys. A: Math. Theor.

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Studying possible laws, rules, and mechanisms of time-evolution of quantum wavefunctions leads to deeper understanding about the essential nature of the Schrödinger dynamics and interpretation on what the quantum wavefunctions are. As such, we attempt to clarify the mechanical and geometrical processes of deformation and bifurcation of a Gaussian wavepacket of the Maslov type from the viewpoint of length-scale hierarchy in the wavepacket size relative to the range of relevant potential functions. Following the well-known semiclassical view that (1) Newtonian mechanics gives a phase space geometry, which is to be projected onto configuration space to determine the basic amplitude of a wavefunction (the primitive semiclassical mechanics), our study proceeds as follows. (2) The quantum diffusion arising from the quantum kinematics makes the Gaussian exponent complex-valued, which consequently broadens the Gaussian amplitude and brings about a specific quantum phase. (3) The wavepacket is naturally led to bifurcation (branching), when the packet size gets comparable with or larger than the potential range. (4) Coupling between the bifurcation and quantum diffusion induces the Huygens-principle like wave dynamics. (5) All these four processes are collectively put into a path integral form. We discuss some theoretical consequences from the above analyses, such as (i) a contrast between the δ-function-like divergence of a wavefunctions at focal points and the mesoscopic finite-speed shrink of a Gaussian packet without instantaneous collapse, (ii) the mechanism of release of the zero-point energy to external dynamics and that of tunneling, (iii) relation between the resultant stochastic quantum paths and wave dynamics, and so on.

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Section: Mesoscopic Shrink Of a Gaussian Wavepacket Without Instantan...mentioning

confidence: 99%

Schrödinger dynamics in length-scale hierarchy: from spatial rescaling to Huygens-like proliferation of Gaussian wavepackets

Takatsuka

2023

J. Phys. A: Math. Theor.

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“…Electron-molecule collision cross-sections for polyatomic molecules have been studied for fluorocarbon and hydrofluorocarbon etchants used in the semiconductor industry. 108,109) Electron impact dissociation cross-sections for C 2 F 6 have been reported. 110) Meanwhile, electron impact ionization crosssections for C 2 F 6 and C 3 F 8 have been reported.…”

Section: 5mentioning

confidence: 99%

Science-based, data-driven developments in plasma processing for material synthesis and device-integration technologies

Kambara

Kawaguchi

Lee

et al. 2022

Jpn. J. Appl. Phys.

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Low-temperature plasma processing technologies is essential for material synthesis, device fabrication, and surface treatment. The development of plasma-related products and services requires an understanding of the multiscale complex behaviors of plasma and the hierarchical integration of plasma generation, energy and mass transports through sheath region, surface reactions, and other processes. The importance of science-based and data-driven approaches to controlling systems is argued. The state-of-the-art of deep learning, machine learning, and artificial intelligence in low-temperature plasma science and technology is reviewed. In this review, the requirements and challenges for plasma parameter prediction and processing recipe discovery are asserted by researchers in the fields of material science and plasma processing. It also outlined a science-based, data-driven approach for development of virtual metrology in plasma processes.

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Molecular collisions, photoionization and dynamics: honouring Professor Vincent McKoy

Cited by 2 publications

References 30 publications

Schrödinger dynamics in length-scale hierarchy: from spatial rescaling to Huygens-like proliferation of Gaussian wavepackets

Schrödinger dynamics in length-scale hierarchy: from spatial rescaling to Huygens-like proliferation of Gaussian wavepackets

Science-based, data-driven developments in plasma processing for material synthesis and device-integration technologies

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