Geometrical formulation of relativistic mechanics
نویسندگان
چکیده
منابع مشابه
Geometrical Formulation of Quantum Mechanics
States of a quantum mechanical system are represented by rays in a complex Hilbert space. The space of rays has, naturally, the structure of a Kähler manifold. This leads to a geometrical formulation of the postulates of quantum mechanics which, although equivalent to the standard algebraic formulation, has a very different appearance. In particular, states are now represented by points of a sy...
متن کاملInstitute for Mathematical Physics Geometrical Formulation of Quantum Mechanics Geometrical Formulation of Quantum Mechanics
States of a quantum mechanical system are represented by rays in a complex Hilbert space. The space of rays has, naturally, the structure of a KK ahler manifold. This leads to a geometrical formulation of the postulates of quantum mechanics which, although equivalent to the standard algebraic formulation , has a very diierent appearance. In particular, states are now represented by points of a ...
متن کاملEntropic formulation of relativistic continuum mechanics.
An entropic formulation of relativistic continuum mechanics is developed in the Landau-Lifshitz frame. We introduce two spatial scales, one being the small scale representing the linear size of each material particle and the other the large scale representing the linear size of a large system which consists of material particles and is to linearly regress to the equilibrium. We propose a local ...
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 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: International Journal of Geometric Methods in Modern Physics
سال: 2018
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887818500627