نتایج جستجو برای: uncertainty principle

تعداد نتایج: 265023  

2008
C. Y. Chen

By examining two counterexamples to the existing theory, it is shown, with mathematical rigor, that as far as scattered particles are concerned the true distribution function is in principle not determinable (indeterminacy principle or uncertainty principle) while the average distribution function over each predetermined finite velocity solid-angle element can be calculated.

Journal: :Science 2007
C G Darwin

If a function ip(x) is mostly concentrated in a box Q, while its Fourier transform $>(£) is concentrated mostly in Q', then we say ijj is microlocalized in Q X Q' in (x, £)-space. The uncertainty principle says that Q X Q' must have volume at least 1. We will explain what it means for ip to be microlocalized to more complicated regions S of volume ~ 1 in (x, £)space. To a differential operator ...

2008
Bhupendra Nath Tiwari

We study generalized uncertainty principle through the basic concepts of limit and Fourier transformation to analyze the quantum theory of gravity or string theory from the perspective of a complex function. Motivated from the noncommutative nature of string theory, we have proposed a UV/IR mixing dependent function δ̃(∆x,∆k, ǫ). We arrived at the string uncertainty principle from the analyticit...

2012
Roger Bishop Jiabin Gao Djamal Djaidi Mohan M. Bhadbhade Mark Wainwright

The crystal engineering design of new clathrate hosts that employ intermolecular attractive forces much weaker than hydrogen bonding and coordination complexation remains problematic. One approach has been to prepare a series of V-shaped molecules with C2symmetry, a small degree of conformational freedom, and protruding halogen atoms. This design has been highly successful (95%), but little pre...

Journal: :SSRN Electronic Journal 2020

Journal: :Information and Control 1959

Journal: :SIAM Journal on Applied Mathematics 1990

Journal: :Journal of Functional Analysis 2008

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