Hamilton–Jacobi method for classical mechanics in Grassmann algebra
نویسندگان
چکیده
منابع مشابه
Hamilton-Jakobi method for classical mechanics in Grassmann algebra
The problem of Lagrangian and Hamiltonian mechanics with Grassmann variables has been discussed previously in works [1, 2, 3] and an examples of solutions for classical systems were presented. In this paper we propose the Hamilton-Jakobi method for the solution of the classical counterpart of Witten‘s model [4]. We assume that the states of mechanical system are described by the set of ordinary...
متن کاملA method for classical and quantum mechanics
In many physical problems it is not possible to find an exact solution. However, when some parameter in the problem is small, one can obtain an approximate solution by expanding in this parameter. This is the basis of perturbative methods, which have been applied and developed practically in all areas of Physics. Unfortunately many interesting problems in Physics are of non-perturbative nature ...
متن کاملGrassmann-Cayley algebra for modelling systems
After a brief introduction of lhe Grassmann-Cayley OI' double algebra we proceed to demonstrate its use for modelling systems of cameras. In the case of three cameras, we give a new interpretation of the trifocal tensors and study in detail some of the constraints that they satisfy. In particular we prove that simple subsets of those constraints characterize the trifocal tensors, in other words...
متن کاملTernary generalizations of Grassmann algebra
We propose the ternary generalization of the classical anti-commutativity and study the algebras whose generators are ternary anti-commutative. The integral over an algebra with an arbitrary number of generators N is defined and the formula of a change of variables is proved. In analogy with the fermion integral we define an analogue of the Pfaffian for a cubic matrix by means of Gaussian type ...
متن کاملCommutative subalgebras of the Grassmann algebra
The maximal dimension of a commutative subalgebra of the Grassmann algebra is determined. It is shown that for any commutative subalgebra there exists an equidimensional commutative subalgebra spanned by monomials. It follows that the maximal dimension of a commutative subalgebra can be expressed in terms of the maximal size of an intersecting system of subsets of odd size in a finite set. 2010...
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: Journal of Physical Studies
سال: 2000
ISSN: 1027-4642,2310-0052
DOI: 10.30970/jps.04.57