Reconciling semiclassical and Bohmian mechanics. I. Stationary states

Bill Poirier

doi:10.1063/1.1775766

Reconciling semiclassical and Bohmian mechanics. I. Stationary states

Bill Poirier

Chemistry and Biochemistry

Research output: Contribution to journal › Article › peer-review

76 Scopus citations

Abstract

The differences and similarities between Bohmian and semiclassical mechanics were studied. Quantum trajectory methods based on Bohmian mechanics were characterized by divergent forces and erratic trajectories near nodes. These two approaches were unified into a single method that captures the best features of both, and in addition, satisfies the correspondence principle. Stationary eigensates in one degree of freedom and other applications were also anticipated.

Original language	English
Pages (from-to)	4501-4515
Number of pages	15
Journal	Journal of Chemical Physics
Volume	121
Issue number	10
DOIs	https://doi.org/10.1063/1.1775766
State	Published - Sep 8 2004

Access to Document

10.1063/1.1775766

Cite this

@article{4d6f9d2851544a9ab29cf764b9f7ee62,

title = "Reconciling semiclassical and Bohmian mechanics. I. Stationary states",

abstract = "The differences and similarities between Bohmian and semiclassical mechanics were studied. Quantum trajectory methods based on Bohmian mechanics were characterized by divergent forces and erratic trajectories near nodes. These two approaches were unified into a single method that captures the best features of both, and in addition, satisfies the correspondence principle. Stationary eigensates in one degree of freedom and other applications were also anticipated.",

author = "Bill Poirier",

year = "2004",

month = sep,

day = "8",

doi = "10.1063/1.1775766",

language = "English",

volume = "121",

pages = "4501--4515",

journal = "The Journal of Chemical Physics",

issn = "0021-9606",

publisher = "American Institute of Physics",

number = "10",

}

TY - JOUR

T1 - Reconciling semiclassical and Bohmian mechanics. I. Stationary states

AU - Poirier, Bill

PY - 2004/9/8

Y1 - 2004/9/8

N2 - The differences and similarities between Bohmian and semiclassical mechanics were studied. Quantum trajectory methods based on Bohmian mechanics were characterized by divergent forces and erratic trajectories near nodes. These two approaches were unified into a single method that captures the best features of both, and in addition, satisfies the correspondence principle. Stationary eigensates in one degree of freedom and other applications were also anticipated.

AB - The differences and similarities between Bohmian and semiclassical mechanics were studied. Quantum trajectory methods based on Bohmian mechanics were characterized by divergent forces and erratic trajectories near nodes. These two approaches were unified into a single method that captures the best features of both, and in addition, satisfies the correspondence principle. Stationary eigensates in one degree of freedom and other applications were also anticipated.

UR - http://www.scopus.com/inward/record.url?scp=4544358753&partnerID=8YFLogxK

U2 - 10.1063/1.1775766

DO - 10.1063/1.1775766

M3 - Article

C2 - 15332880

AN - SCOPUS:4544358753

VL - 121

SP - 4501

EP - 4515

JO - The Journal of Chemical Physics

JF - The Journal of Chemical Physics

SN - 0021-9606

IS - 10

ER -

Reconciling semiclassical and Bohmian mechanics. I. Stationary states

Abstract

Access to Document

Other files and links

Fingerprint

Cite this