NONCOMMUTATIVITY FROM THE SYMPLECTIC POINT OF VIEW
نویسندگان
چکیده
منابع مشابه
Noncommutativity from the symplectic point of view
The great deal in noncommutative (NC) field theories started when it was noted that NC spaces naturally arise in string theory with a constant background magnetic field in the presence of D-branes. Besides their origin in string theories and branes, NC field theories have been studied extensively in many branches of physics. In this work we explore how NC geometry can be introduced into a commu...
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In symplectic geometry, it is often useful to consider the so-called Poisson bracket on the algebra of functions on a C ∞ symplectic manifold M. The bracket determines, and is determined by, the symplectic form; however, many of the features of symplectic geometry are more conveniently described in terms of the Poisson bracket. When one turns to the study of symplectic manifolds in the holomorp...
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The easiest example of a symplectic manifold is the standard sym-plectic vector space V := R 2n with coordinates (q 1 ; p 1 ; :::; q n ; p n) and symplectic form ! = n X j=1 dq j ^ dp j : The basic feature of ! is that it is a closed non-degenerate 2-form on R 2n. In particular it gives a natural indentiication of V with its dual V v ! !(v; :): As an auxiliary structure we also use the standard...
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متن کاملNUTRITION FROM THE POINT OF VIEW OF ISLAM
This paper aims at briefly specifying an analytical approach for the understanding of diet and nutrition in Islam and its effects on the promotion of health within the society. The Qur’an and other Islamic literature on Hadiths (Traditions), Figh (Jurisprudence) and traditional medicine are studied. The specifications of the Islamic food, the significance of the use of a diet compatible with ...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 2006
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x06034094