现在关于概率论的发言比其他任何领域都要多,因为人们已经认为它是数学研究中重要的一部分。我在大学里学过测量理论(measure theory),它是概率论基础的一部分,但我转做概率论研究是受到了同事的影响。 实际上,我从来没有在学校里学过概率论是一个巨大的优势。我因此对它有了不同的视角,这也是我在这个领域取得成功...
We continue study of the connection of classical limit of integrable asymptotically free field theory to the finite-gap solutions of classical integrable equations. In the limit the momenta of particles turn into the moduli of Riemann surfaces while their isotopic structure is related to the period ...
Quantum theory explains the nature and behavior of energy and matter on thequantum, or atomic and subatomic levels. Quantum computing takes advantage of how quantum matter works: Where classical computing uses binary bits -- 1s and 0s -- quantum computing uses 1s, 0s, and both a 1 and 0 ...
winning a nobel prize for his contributions to quantum theory, caltech’s richard feynman remarked that “nobody understands quantum mechanics.” the way we experience the world just isn’t compatible. but some people grasped it well enough to redefine our understanding of the universe....
What is a quantum vacuum? Anne Baring A True Vacuum? One may have heard that a vacuum is nothing—the absence of matter. Space is typically called a vacuum, but even it has minute material in the void that makes it a non-but-near-vacuum as a whole. On Earth, we can isolate a ...
Classical physics theory cannot explain this phenomenon In 1905 the young scientist Einstein solved the photoelectric effect problem with 'quantum' He proposed the hypothesis of 'light quanta' believing that the energy of light radiation itself
Though quantum computing still has a ways to go before a wide-scale commercial debut, users can operate small-scale quantum processors via the cloud through IBM’s online Q Experience and its open-source software Quiskit. Microsoft and Amazon both now have similar platforms, dubbedAzure Quantuman...
内容提示: Why Does Quantum Field Theory In Curved Spacetime Make Sense?And What Happens To The Algebra of Observables In The Thermodynamic Limit?Edward WittenInstitute for Advanced StudyEinstein Drive, Princeton, NJ 08540 USAAbstractThis article aims to explain some of the basic facts about the ...
Is the Universe Symmetrical? What Is Stellar Nucleosynthesis via Nuclear Fusion? How Did We Learn About the Problems Around the Hubble Tension, Hubble's Constant, & the Age of the Universe? What Are Cosmic Rays and What Do They Reveal About the Universe?
Is general relativity proven? General relativity has passed all the experimental tests so far, but its applicability is expected to break down when [the] effects of quantum mechanics (the theory of the very small particles) should become dominant. ...