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Updated: May 24, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Solution of the time-dependent Schrödinger equation using time-dependent basis functions.
1Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA.
Summary
This study introduces an efficient time-dependent basis method for solving the Schrödinger equation, enabling accurate wave function propagation. The approach accurately models atomic ionization and molecular absorption spectra.
Area of Science:
- Quantum mechanics
- Computational chemistry
- Atomic and molecular physics
Background:
- Solving the time-dependent Schrödinger equation is crucial for understanding quantum dynamics.
- Traditional methods often face challenges with computational efficiency and accuracy in time propagation.
Purpose of the Study:
- To develop and demonstrate an efficient method for solving the time-dependent Schrödinger equation.
- To enable reflection-free time propagation of quantum wave functions.
Main Methods:
- Utilized an explicitly time-dependent basis set for solving the Schrödinger equation.
- Applied the method to simulate time-dependent quantum phenomena.
Main Results:
- Achieved efficient and reflection-free time propagation of the wave function.
- Successfully calculated above-threshold ionization of a model atom.
- Determined the optical absorption spectrum of a sodium dimer.
Conclusions:
- The explicitly time-dependent basis approach is a powerful tool for quantum dynamics simulations.
- The method offers a robust and accurate way to study atomic and molecular properties under time-dependent perturbations.
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