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...
متن کاملRelativistic Non-Hermitian Quantum Mechanics
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...
متن کاملFibre bundle formulation of relativistic quantum mechanics
We propose a new fibre bundle formulation of the mathematical base of relativistic quantum mechanics. At the present stage the bundle form of the theory is equivalent to its conventional one, but it admits new types of generalizations in different directions. In the bundle description the wavefunctions are replaced with (state) sections (covariant approach) or liftings of paths (equivalently: s...
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(~...
متن کاملNambu Quantum Mechanics: A Nonlinear Generalization of Geometric Quantum Mechanics
We propose a generalization of the standard geometric formulation of quantum mechanics, based on the classical Nambu dynamics of free Euler tops. This extended quantum mechanics has in lieu of the standard exponential time evolution, a nonlinear temporal evolution given by Jacobi elliptic functions. In the limit where latter’s moduli parameters are set to zero, the usual geometric formulation o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1978
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01940762