有理相对论碰撞
Rational Relativistic Collisions
摘要:
如果两个点粒子在一维空间中发生相对论碰撞,并且入射粒子的质量、速度和伽玛因子都是有理数,那么出射粒子的速度和伽玛因子也是有理数。可以找到许多使用毕达哥拉斯三元组的例子。在所有速度下,碰撞都会导致粒子2动量的洛伦兹反射。
英文摘要:
If two point particles collide relativistically in one dimension, and the masses, velocities and gamma factors of the incoming particles are rational numbers, then the velocities and gamma factors of the outgoing particles are rational. Numerous examples can be found using Pythagorean triples. At all velocities, the collision results in a Lorentzian reflection of the 2-momenta of the particles.
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