量子物理学有了一个新的、显著的扩展

J. Klauder
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引用次数: 0

摘要

规范量子化教会了我们很多东西。一个常见的例子是谐振子,它就像在弦上来回摆动一个球。然而,半谐振子在底部阻挡了球,然后球迅速弹回来。第二个模型不能用正则量化正确求解。现在,有一种量子化的扩展,称为仿射量子化,它可以正确地解决半谐振子,并为大量其他问题提供正确的解决方案,甚至可以达到场论和重力。本文旨在介绍仿射量化;它是什么,它能做什么。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Quantum Physics Has a New, and Remarkable, Expansion
Canonical quantization has taught us great things. A common example is that of the harmonic oscillator, which is like swinging a ball on a string back and forth. However, the half-harmonic oscillator blocks the ball at the bottom and then it quickly bounces backwards. This second model cannot be correctly solved using canonical quantization. Now, there is an expansion of quantization, called affine quantization, that can correctly solve the half-harmonic oscillator, and offers correct solutions to a grand collection of other problems, which even reaches to field theory and gravity. This paper has been designed to introduce affine quantization; what it is, and what it can do.
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