Last Updated
：2025/12/05
Heisenberg group
Proper noun
Japanese Meaning
（数学）積の演算のもとで、3×3の上三角行列（形式：
[1, a, c]
[0, 1, b]
[0, 0, 1]）からなる群で、1次元の量子力学系の記述に現れる。
（ canonical ）
Quizzes for review
(mathematics) The group of 3×3 upper triangular matrices of the form 1ac\0 1b\0 0 1\ under the operation of matrix multiplication, arising in the description of one-dimensional quantum-mechanical systems.
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Heisenberg group
In our algebra seminar, we studied how the Heisenberg group encodes the canonical commutation relations using 3×3 upper-triangular matrices.
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In our algebra seminar, we studied how the Heisenberg group encodes the canonical commutation relations using 3×3 upper-triangular matrices.
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