Relativistic quantum mechanics, relativistic quantum fields
نویسندگان
چکیده
منابع مشابه
Canonical Relativistic Quantum Mechanics
Born proposed a unification of special relativity and quantum mechanics that placed position, time, energy and momentum on equal footing through a reciprocity principle and extended the usual position-time and energy-momentum line elements to this space by combining them through a new fundamental constant. Requiring also invariance of the symplectic metric yields as the invariance group, the in...
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We develop relativistic wave equations in the framework of the new non-hermitian PT quantum mechanics. The familiar Hermitian Dirac equation emerges as an exact result of imposing the Dirac algebra, the criteria of PT -symmetric quantum mechanics, and relativistic invariance. However, relaxing the constraint that in particular the mass matrix be Hermitian also allows for models that have no cou...
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This review is devoted to the study of stationary solutions of linear and nonlinear equations from relativistic quantum mechanics, involving the Dirac operator. The solutions are found as critical points of an energy functional. Contrary to the Laplacian appearing in the equations of nonrelativistic quantum mechanics, the Dirac operator has a negative continuous spectrum which is not bounded fr...
متن کاملRelativistic Quantum Mechanics Through Frame-Dependent Constructions
This paper is concerned with the possibility and nature of relativistic hidden-variable formulations of quantum mechanics. Both ad hoc teleological constructions of spacetime maps and frame-dependent constructions of spacetime maps are considered. While frame-dependent constructions are clearly preferable, they provide neither mechanical nor causal explanations for local quantum events. Rather,...
متن کاملSpinor Formulation of Relativistic Quantum Mechanics
We have altered here slightly our notation of S̃(~ w, ~ θ), expressing its dependence on ~ w, ~ θ through a complex variable ~z, ~z ∈ C3. Because of its block-diagonal form each of the diagonal components of S̃(~z), i.e., a(~z) and b(~z), must be two-dimensional irreducible representations of the Lorentz group. This fact is remarkable since it implies that the representations provided through a(~...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1978
ISSN: 0001-8708
DOI: 10.1016/0001-8708(78)90052-x