منابع مشابه
The Uncertainty Principle.
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 ...
متن کاملThe stem cell uncertainty principle
Manuscript Number: Full Title: The stem cell uncertainty principle Article Type: PSA 2012 Contributed Paper
متن کاملThe Hardy Uncertainty Principle Revisited
We give a real-variable proof of the Hardy uncertainty principle. The method is based on energy estimates for evolutions with positive viscosity, convexity properties of free waves with Gaussian decay at two different times, elliptic L2-estimates and the invertibility of the Fourier transform on L2(Rn) and S′(Rn).
متن کاملHeisenberg’s Uncertainty Principle
Heisenberg’s uncertainty principle is usually taken to express a limitation of operational possibilities imposed by quantum mechanics. Here we demonstrate that the full content of this principle also includes its positive role as a condition ensuring that mutually exclusive experimental options can be reconciled if an appropriate trade-off is accepted. The uncertainty principle is shown to appe...
متن کاملA new uncertainty principle
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.
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: Bulletin of the American Mathematical Society
سال: 1983
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1983-15154-6