Applications of Dirac brackets to spinning particles

Thesis/Dissertation · Sun Jan 01 04:00:00 EST 1984

OSTI ID:6097854

Luedtke, W D

In a search for a classical antecedent of the Dirac equation, the author considers a series of Lagrangian models for spinning particles and derives the corresponding Hamiltonian theories. Most of these models involve the canonical quantization of a system with non-holonomic constraints. The author presents the constraints by Lagrange multipliers and Dirac's theory for singular Lagrangians is used to obtain the Hamiltonian theories. The Hamiltonian theories for the constrained systems allow a wider class of motions than the Lagrangian theory based on virtual displacements. A first-order relativistic wave equation is obtained involving operators associated wtih the Poincare group.

• Research Organization: Georgia Inst. of Tech., Atlanta (USA)
• OSTI ID: 6097854
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
FIELD THEORIES
HAMILTONIANS
LAGRANGIAN FIELD THEORY
LIE GROUPS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
POINCARE GROUPS
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPIN
SYMMETRY GROUPS
TEST PARTICLES
WAVE EQUATIONS