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Joshua Zak
Joshua Zak (born 1929) is an Israeli theoretical physicist and writer known for the Zak transform, Zak phase and the Magnetic Translation Group. He received the 2022 Israel prize and 2014 Wigner medal. Most cited publications *Zak J. Berry's phase for energy bands in solids. ''Physical Review Letters''. 1989 Jun 5;62(23):2747* J. Zak. Magnetic translation group. ''Physical Review''. 1964 Jun 15;134(6A):A1602. *Zak J, Moog ER, Liu C, Bader SD. Magneto-optics of multilayers with arbitrary magnetization directions. ''Physical Review B.'' 1991 Mar 15;43(8):6423. *Zak J. Finite translations in solid-state physics. ''Physical Review Letters''. 1967 Dec 11;19(24):1385. Honors and awards * Wigner Medal 2014 * Israel prize, for his achievements in physics, in 2022.phys.technion.ac.il/en/about/news/prof-emeritus-joshua-zak-will-be-awarded-the-2022-israel-prize-in-the-field-of-physics-and-chemistry-research * The Brown-Zak fermion and the Zak transform In mathematics, the Zak transfo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theoretical Physicist
Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena. This is in contrast to experimental physics, which uses experimental tools to probe these phenomena. The advancement of science generally depends on the interplay between experimental studies and theory. In some cases, theoretical physics adheres to standards of mathematical rigour while giving little weight to experiments and observations.There is some debate as to whether or not theoretical physics uses mathematics to build intuition and illustrativeness to extract physical insight (especially when normal experience fails), rather than as a tool in formalizing theories. This links to the question of it using mathematics in a less formally rigorous, and more intuitive or heuristic way than, say, mathematical physics. For example, while developing special relativity, Albert Einstein was concerned with t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zak Transform
In mathematics, the Zak transform (also known as the Gelfand mapping) is a certain operation which takes as input a function of one variable and produces as output a function of two variables. The output function is called the Zak transform of the input function. The transform is defined as an infinite series in which each term is a product of a dilation of a translation by an integer of the function and an exponential function. In applications of Zak transform to signal processing the input function represents a signal and the transform will be a mixed time–frequency representation of the signal. The signal may be real valued or complex-valued, defined on a continuous set (for example, the real numbers) or a discrete set (for example, the integers or a finite subset of integers). The Zak transform is a generalization of the discrete Fourier transform. The Zak transform had been discovered by several people in different fields and was called by different names. It was called the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
