Published May 2001 | Version v1
Journal article

Transformation of operator equations describing interaction of relativistic particles with electric field

  • 1. Nauchno-Issledovatel'skij Inst. Yadernykh Problem pri Belorusskom Gosudarstvennom Univ., Minsk (Belarus)

Description

The method of solution of relativistic equations for the Hamilton operator in the Foldy-Wouthuysen representation is developed. These equations are transformed to a quadratic form, and this allows to eliminate the square root from operators. An interaction of a particle with a field, characterized by a harmonic potential, is considered as an example of a method application

Abstract (Russian)

Разработан метод решения релятивистских волновых уравнений для оператора Гамильтона в представлении Фолди-Ваутхойзена. Данные уравнения преобразуются к квадратичному виду, что позволяет избавиться от квадратного корня из операторов. В качестве примера использования метода рассмотрено взаимодействие частицы с полем, характеризуемым гармоническим потенциалом

Additional details

Additional titles

Original title (Russian)
Преобразование операторных уравнений, описывающих взаимодействие релятивистских частиц с электрическим полем

Publishing Information

Journal Title
Yadernaya Fizika
Journal Volume
64
Journal Issue
5
Journal Page Range
p. 1048-1053
ISSN
0044-0027
CODEN
IDFZA7

Conference

Title
30. International conference on physics of charged fast particle interaction with a substance
Original Conference Title
30. Mezhdunarodnaya konferentsiya po fizike vzaimodejstviya bystrykh zaryazhennykh chastits s veshchestvom
Dates
29-31 May 2000
Place
Moscow (Russian Federation)

INIS

Country of Publication
Russian Federation
Country of Input or Organization
Russian Federation
INIS RN
33024515
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ELECTRIC FIELDS; HAMILTONIANS; HARMONIC POTENTIAL; MATHEMATICAL OPERATORS; RELATIVISTIC RANGE; SPIN; WAVE EQUATIONS; WAVE FUNCTIONS
Descriptors DEC
ANGULAR MOMENTUM; DIFFERENTIAL EQUATIONS; ENERGY RANGE; EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; NUCLEAR POTENTIAL; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE PROPERTIES; POTENTIALS; QUANTUM OPERATORS

Optional Information

Notes
12 refs.