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Non-dispersing Wavepackets in Two-Electron Systems in Magnetic Field

Explore a new split operator method that predicts the existence of non-dispersing wave packets in magnetic fields for 2D systems with slowly varying potentials. Discover the need for significant corrections at equilibrium points in a rotating frame and how Langmuir states and quantum dot configurations stabilize under combined magnetic and CP fields. These findings, confirmed through 2D Hartree-Fock grid simulations, suggest future research possibilities into complex Wigner molecules in rotating frames within the Hartree-Fock approximation.

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Non-dispersing Wavepackets in Two-Electron Systems in Magnetic Field

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  1. Nondispersing wavepacketsin two-electron systemsin magnetic field Matt Kalinski

  2. SUMMARY • New split operator method predicts existence of non-dispersing wave packets in magnetic field for arbitrary slowly-varying potential in 2D • Significant corrections are needed for equilibrium points in rotating frame • Langmuir states stabilize in magnetic and CP fields (both fields are needed !) • Quantum dot configurations stabilize in magnetic and CP fields (both fields are needed !) • Confirmed in Hartree-Fock grid 2D simulations in Hartree limit • Possible future research: Complex Wigner molecules in rotating frames within Hartree-Fock approximation (Langmuir states - electronic H2-like molecules which must rotate to exist)

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