dorsal/arxiv
View SchemaWave Functions and Bohmian Trajectories in Interference Phenomena
| Authors | E. Guay, L. Marchildon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407077 |
| URL | https://arxiv.org/abs/quant-ph/0407077 |
Abstract
In the last few years the hydrodynamic formulation of quantum mechanics, equivalent to the Bohmian equations of motion, has been used to obtain numerical solutions of the Schrodinger equation. Problems, however, have been experienced near wave function nodes (or low probability regions). Here we attempt to compute wave functions and Bohmian trajectories for the interference of one particle or of two identical particles. It turns out that the large number of nodes (i.e. interference minima) makes the hydrodynamic equations impractical, whereas a more straightforward solution of the Schrodinger equation gives very good results.
{
"annotation_id": "d8fcc0b6-27a5-43b0-b65e-968ea09ae438",
"date_created": "2026-03-02T18:02:10.174000Z",
"date_modified": "2026-03-02T18:02:10.174000Z",
"file_hash": "920bfec75ed23a246bd40592fca42f0adf0bf62bfa452ddf324b097a26b02d4e",
"private": false,
"record": {
"abstract": "In the last few years the hydrodynamic formulation of quantum mechanics,\nequivalent to the Bohmian equations of motion, has been used to obtain\nnumerical solutions of the Schrodinger equation. Problems, however, have been\nexperienced near wave function nodes (or low probability regions). Here we\nattempt to compute wave functions and Bohmian trajectories for the interference\nof one particle or of two identical particles. It turns out that the large\nnumber of nodes (i.e. interference minima) makes the hydrodynamic equations\nimpractical, whereas a more straightforward solution of the Schrodinger\nequation gives very good results.",
"arxiv_id": "quant-ph/0407077",
"authors": [
"E. Guay",
"L. Marchildon"
],
"categories": [
"quant-ph"
],
"title": "Wave Functions and Bohmian Trajectories in Interference Phenomena",
"url": "https://arxiv.org/abs/quant-ph/0407077"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "55394c77-8dd0-4273-865b-6eca0cb15c09",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}