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A Bohmian total potential view to quantum effects. I. Methodology and simple model systems
Javier Gonzalez1, Josep Maria Bofill, Xavier Gimenez
1Departament de Quimica Fisica, Universitat de Barcelona, Marti i Franques 1Centre Especial de Recerca en Quimica Teorica, Parc Cientific de Barcelona, Baldiri Reixac 10-12, 08028 Barcelona, Spain.
The Journal of Chemical Physics
|July 23, 2004
Summary
This study analyzes quantum dynamics using Bohm
Area of Science:
- Quantum mechanics
- Theoretical chemistry
Background:
- Coherent-state wave packet dynamics are crucial for understanding quantum systems.
- Bohm's total potential offers a unique perspective on quantum phenomena.
Purpose of the Study:
- To analyze coherent-state wave packet dynamics using Bohm's total potential.
- To develop a method for obtaining the total potential from the time-dependent Schrodinger equation.
Main Methods:
- Solving the time-dependent Schrodinger equation.
- Utilizing matrix algebra to derive the total potential.
- Analyzing free motion and scattering processes (square and Eckart barriers).
Main Results:
- A classical-like description of quantum effects was achieved through the time- and state-dependent total potential.
- Quantum effects are strongly related to the density amplitude and sharpness of the quantum state.
- Sharp density profiles and low densities lead to significant deviations of the total potential from classical values.
Conclusions:
- The proposed method provides a unified and deterministic view of quantum dynamics.
- Insights into tunneling, antitunneling, resonances, and quantization were obtained.