permutation symmetry
[pɜːrˌmjuːˈteɪʃən ˈsɪmətri]
nounfemininepl: permutation symmetries / simetrias de permutação
simetria de permutação
1. A property in mathematics and physics where a system remains unchanged or exhibits equivalent behavior when two or more identical particles or variables are exchanged or permuted
The wavefunction of identical particles exhibits permutation symmetry, meaning swapping two electrons does not change the physical state.
A função de onda de partículas idênticas exibe simetria de permutação, significando que trocar dois elétrons não altera o estado físico.
2. In quantum mechanics, the invariance of a system under the interchange of identical particles, crucial for understanding the Pauli exclusion principle
Permutation symmetry is fundamental to fermion and boson statistics in quantum field theory.
A simetria de permutação é fundamental para as estatísticas de férmions e bósons na teoria quântica de campos.
3. In mathematics, the property that a function or expression remains unchanged when variables are rearranged according to a permutation
A symmetric polynomial has permutation symmetry with respect to its variables.
Um polinômio simétrico tem simetria de permutação com relação às suas variáveis.
This is a specialized technical term used primarily in physics and advanced mathematics education in both Brazil and the USA. It is essential to quantum mechanics curricula and research. The concept was developed in the early 20th century and is now standard terminology in international scientific communities, with the same meaning across all Portuguese-speaking countries.
Related Idioms & Phrases
permutation symmetry of identical particles
breaking permutation symmetry
under permutation symmetry
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