Quantisation ideals of nonabelian integrable systems

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Cross Product Quantisation, Nonabelian Cohomology and Twisting of Hopf Algebras

This is an introduction to work on the generalisation to quantum groups of Mackey’s approach to quantisation on homogeneous spaces. We recall the bicrossproduct models of the author, which generalise the quantum double. We describe the general extension theory of Hopf algebras and the nonAbelian cohomology spaces H(H,A) which classify them. They form a new kind of topological quantum number in ...

متن کامل

Deformation Quantisation of Constrained Systems

We study the deformation quantisation (Moyal quantisation) of general constrained Hamiltonian systems. It is shown how second class constraints can be turned into first class quantum constraints. This is illustrated by the O(N) non-linear σ-model. Some new light is also shed on the Dirac bracket. Furthermore, it is shown how classical constraints not in involution with the classical Hamiltonian...

متن کامل

BRST operator quantisation of parametrised gauge systems

The BRST quantisation of a finite dimensional gauge system featuring a Hamiltonian constraint quadratic in the momenta reveals that the presence of a potential term and/or additional linear constraints lead to a factor ordered kinetic term in the Hamiltonian which differs from the naively expected Laplacian. This unexpected factor ordering is found to be a necessary condition to obtain constrai...

متن کامل

Integrable Systems

Contents 1 Integrability in classical mechanics 4 1.

متن کامل

Evidence for Quantisation in Planetary Ring Systems

Absolute radial positions of the main features in Saturn’s ring system have been calculated by adapting the quantum theory of atomic spectra. Fine rings superimposed upon broad rings are found to be covered by a harmonic series of the form N α A(r) 1/2 , where N and A are integers. Fourier analysis of the ring system shows that the spectral amplitude fits a response profile which is characteris...

متن کامل

ذخیره 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: Russian Mathematical Surveys

سال: 2020

ISSN: 0036-0279,1468-4829

DOI: 10.1070/rm9966