Relativistic Hamiltonian with square root in the path integral formalism
Journal Article
·
· Theor. Math. Phys.; (United States)
This paper discussed the quantization of the relativistic Hamiltonian with square root. It is shown that calculation of this integral does not give the Green's function of the Klein-Gordon equation but leads to the propagator of a scalar field in the two-component Feshbach-Villars formalism. The difficulties in calculating path integrals in the presence of nontrivial external fields are discussed.
- Research Organization:
- Joint Institute for Nuclear Research, Dubna
- OSTI ID:
- 7104285
- Journal Information:
- Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 62:2; ISSN TMPHA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
CHARGED PARTICLES
ELECTROMAGNETIC FIELDS
ENERGY RANGE
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
HAMILTONIANS
INTEGRALS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MATHEMATICAL OPERATORS
PROPAGATOR
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RELATIVISTIC RANGE
SCALAR FIELDS
TRANSITION AMPLITUDES
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
CHARGED PARTICLES
ELECTROMAGNETIC FIELDS
ENERGY RANGE
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
HAMILTONIANS
INTEGRALS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MATHEMATICAL OPERATORS
PROPAGATOR
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RELATIVISTIC RANGE
SCALAR FIELDS
TRANSITION AMPLITUDES