Search research articles

Search research articles

Related Experiment Videos

Interference in Bohmian mechanics with complex action.

Yair Goldfarb¹, David J Tannor

¹Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel. yair.goldfarb@weizmann.ac.il

The Journal of Chemical Physics

|November 6, 2007

Summary

This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Generalized kicked rotor: Periodic forcing with finite-width pulses and the role of shifting the kick.

Physical review. E·2026

Same author

The robustness of composite pulses elucidated by classical mechanics: stability around the globe.

Physical chemistry chemical physics : PCCP·2025

Same author

The geometry of the classical action in phase space.

The Journal of chemical physics·2025

Same author

Exploring the role of chaos in model recollision processes.

The Journal of chemical physics·2025

Same author

Control of concerted back-to-back double ionization dynamics in helium.

The Journal of chemical physics·2021

Same author

Communication: Systematic elimination of Stokes divergences emanating from complex phase space caustics.

The Journal of chemical physics·2018

Same journal

Metastable excited states of iodide-alkyl halide cluster anions: Insights from photodetachment spectroscopy and non-Hermitian quantum chemistry.

The Journal of chemical physics·2026

Same journal

Pressure-induced thermal expansion anomalies in dhcp iron hydride associated with magnetoelastic coupling.

The Journal of chemical physics·2026

Same journal

Seniority eigenstate configuration interaction.

The Journal of chemical physics·2026

Same journal

A data-driven modeling study on the accurate identification of Doppler-free saturated absorption spectra in diatomic tellurium (130Te2).

The Journal of chemical physics·2026

Same journal

Anharmonic phonons via quantum thermal bath simulations.

The Journal of chemical physics·2026

Same journal

Quantum simulation of alignment dependent differential cross sections in co-propagating molecular beams at cold collision energies.

The Journal of chemical physics·2026

See all related articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Complex Bohmian mechanics offers a new approach to quantum calculations by using complex trajectories. This method overcomes limitations of traditional Bohmian mechanics, particularly in handling wave function nodes.

Area of Science:

Quantum mechanics
Computational chemistry
Numerical methods

Background:

Bohmian mechanics provides a deterministic interpretation of quantum mechanics.
Conventional Bohmian methods face numerical challenges due to wave function nodes.
Developing efficient numerical tools for quantum mechanical calculations is an active research area.

Purpose of the Study:

To present an alternative formulation of Bohmian mechanics using complex action.
To demonstrate how complex Bohmian mechanics addresses the nodal problem in quantum calculations.
To illustrate the utility of complex trajectories in overcoming computational limitations.

Main Methods:

Developed an alternative formulation of Bohmian mechanics with complex quantum action.

Related Experiment Videos

Propagated complex trajectories instead of real ones.

Analyzed the behavior of the quantum force near wave function nodes.

Illustrated the method using the reflection amplitude from a one-dimensional Eckart barrier.

Main Results:

The complex action formulation significantly reduces the magnitude of the quantum force.
Complex Bohmian mechanics effectively handles wave function nodes, a challenge for conventional methods.
Multiple complex initial conditions can converge to the same real final position, enabling accurate node description.
Trajectory crossing in complex Bohmian mechanics provides a novel solution to the nodal problem.

Conclusions:

Complex Bohmian mechanics offers a computationally advantageous alternative to conventional Bohmian methods.
The ability to handle nodes via trajectory crossing is a significant advancement for Bohmian dynamics.
This approach provides a new tool for accurate quantum mechanical calculations, especially in regions with wave function nodes.