Extending the uncertainty principle by using an unbounded operator
A study published in the journal Physical Review Letters by researchers in Japan solves a long-standing problem in quantum physics by redefining the uncertainty principle.
A study published in the journal Physical Review Letters by researchers in Japan solves a long-standing problem in quantum physics by redefining the uncertainty principle.
Researchers at the University of Tsukuba and NIMS have observed a novel Hall effect wherein the deflection direction of current varies according to the current flow direction. Onsager's reciprocal theorem, a fundamental theorem ...
Condensed Matter
Dec 14, 2023
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22
In 1960, Joaquin Luttinger introduced a universal statement that relates the total number of particles that a system can accommodate to its behavior under low-energy excitations. While Luttinger's theorem is readily verified ...
Condensed Matter
Dec 6, 2023
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140
The Lorentz reciprocal theorem can now be applied to fluids with broken symmetries. Scientists at the Max Planck Institute for Dynamics and Self-Organization (MPI-DS) in Göttingen have found a way to also accommodate this ...
Soft Matter
Nov 27, 2023
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51
On June 23, 1993, the mathematician Andrew Wiles gave the last of three lectures detailing his solution to Fermat's last theorem, a problem that had remained unsolved for three and a half centuries. Wiles' announcement caused ...
Mathematics
Jun 22, 2023
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84
In the 18th century, the philosopher David Hume observed that induction—inferring the future based on what's happened in the past—can never be reliable. In 1997, SFI Professor David Wolpert with his colleague Bill Macready ...
Mathematics
Jun 5, 2023
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45
A new review looks at an important and often overlooked aspect of physics that suggested symmetry in the particle zoo and how it could be broken.
Quantum Physics
May 25, 2022
1
48
The field of machine learning on quantum computers got a boost from new research removing a potential roadblock to the practical implementation of quantum neural networks. While theorists had previously believed an exponentially ...
Quantum Physics
Feb 24, 2022
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1001
Einstein was no stranger to mathematical challenges. He struggled to define energy in a way that acknowledged both the law of energy conservation and covariance, which is general relativity's fundamental feature where physical ...
Quantum Physics
Dec 14, 2021
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1073
There are certain rules that even the most extreme objects in the universe must obey. A central law for black holes predicts that the area of their event horizons—the boundary beyond which nothing can ever escape—should ...
General Physics
Jul 1, 2021
97
10239