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Quantum number

A quantum number describes the energies of electrons in atoms. Each quantum number specifies the value of a conserved quantity in the dynamics of the quantum system. Since any quantum system can have one or more quantum numbers, it is a futile job to list all possible quantum numbers. The question of how many quantum numbers are needed to describe any given system has no universal answer, although for each system one must find the answer for a full analysis of the system. The most widely studied set of quantum numbers is that for a single electron in an atom: not only because it is useful in chemistry, being the basic notion behind the periodic table, valence (chemistry) and a host of other properties, but also because it is a solvable and realistic problem, and, as such, finds widespread use in textbooks.

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November 16, 2025

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New research from UBC Okanagan mathematically demonstrates that the universe cannot be simulated. Using Gödel’s incompleteness theorem, scientists found that reality requires “non-algorithmic understanding,” something no computation can ...
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Researchers have discovered quantum oscillations inside an insulating material, overturning long-held assumptions. Their work at the National Magnetic Field Laboratory suggests that the effect originates in the material’s bulk rather than its ...
A team at the University of Stuttgart has engineered a compact short-pulse laser that achieves up to 80% efficiency—far surpassing current models. Their new multipass design reuses light within a small crystal, combining power and precision in a ...
MIT scientists uncovered direct evidence of unconventional superconductivity in magic-angle graphene by observing a distinctive V-shaped energy gap. The discovery hints that electron pairing in this material may arise from strong electronic ...

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