HYBRID SIMULATION OF MAXWELL-SCHRODINGER EQUATIONS FOR MULTI-PHYSICS PROBLEMS CHARACTERIZED BY ANHARMONIC ELECTROSTATIC POTENTIAL (Invited Paper)
Author(s) -
Takashi Takeuchi,
Shinichiro Ohnuki,
Tokuei Sako
Publication year - 2014
Publication title -
electromagnetic waves
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.437
H-Index - 89
eISSN - 1559-8985
pISSN - 1070-4698
DOI - 10.2528/pier14063001
Subject(s) - anharmonicity , maxwell's equations , schrödinger equation , physics , classical mechanics , schrödinger's cat , mathematical physics , quantum electrodynamics , quantum mechanics
A novel hybrid simulation based on the coupled Maxwell-Schrodinger equations has been utilized to investigate, accurately, the dynamics of electron conflned in a one-dimensional potential and subjected to time-dependent electromagnetic flelds. A detailed comparison has been made for the computational results between the Maxwell-Schrodinger and conventional Maxwell-Newton approaches, for two distinct cases, namely, characterized by harmonic and anharmonic electrostatic conflning potentials. The results obtained by the two approaches agree very well for the harmonic potential while disagree quantitatively for the anharmonic potential. This clearly indicates that the Maxwell- Schrodinger scheme is indispensable to multi-physics simulation particularly when the anharmonicity efiect plays an essential role.
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