摘要
双曲型希尔伯特空间与多维闵考斯基空间相吻合[1],使狭义相对论和量子力学统一于相同的数学理论框架之中,由此建立的双曲量于力学理论带有相对论的特征.由于洛伦兹变换与量子力学中的相似变换取得相同的表述形式和群表示,为量子力学和相对论的一元化奠定了理论基础.
Hyperbolic Hilbert space tallies with moredimensional Minkowski space,and it makes the special theory of relativity and quantum mechanics unite in the same mathematics base frame. The hyperbola quantum mechanics based on this the fentares of the special theory of relativity. Because Lorentz transform and the similar transform in quantum mechanics have the same expression form,it funds the theory base for theunified expression to quartum mechanics and the special theory of relativity.
出处
《松辽学刊(自然科学版)》
1995年第4期1-6,共6页
Songliao Journal (Natural Science Edition)
基金
吉林省教委科学基金
关键词
薛定谔方程
双曲量子力学
量子力学
傅里叶变换
similar transform,schrodinger eguarion,dirac operator .Lorentz transform