论文标题
经典和量子系统的统一组合
A Unified Combination of Classical and Quantum Systems
论文作者
论文摘要
任何特定的经典系统及其量子版本通常都被视为严格不同的独立配方。我们的目标是克服两种单独的语言，并创建一个平稳而常见的过程，该过程在严格经典或严格量化状态的常规区分之间提供了清晰而连续的通过。虽然路径积分（除其他过程）提供了连接经典和量子表达式的替代途径，但它通常涉及复杂的，模型依赖性的集成。我们的替代程序仅涉及与模型无关的程序，并使用更加自然和直接的整合性。为了介绍基本程序，我们的演讲始于熟悉的方法，这些方法仅限于基本的，常规的，规范的量子机械示例。在最终部分中，我们说明了替代量化程序（例如自旋和仿射量化）如何在经典和量子故事之间具有平稳的路径，并且有一些简短的评论也可以导致类似的故事，以实现非赋形的协方差量表量表和量子重力。
Any particular classical system and its quantum version are normally viewed as separate formulations that are strictly distinct. Our goal is to overcome the two separate languages and create a smooth and common procedure that provides a clear and continuous passage between the conventional distinction of either a strictly classical or a strictly quantized state. While path integration, among other procedures, provides an alternative route to connect classical and quantum expressions, it normally involves complicated, model-dependent, integrations. Our alternative procedures involve only model-independent procedures, and use more natural and straightforward integrations that are universal in kind. To introduce the basic procedures our presentation begins with familiar methods that are limited to basic, conventional, canonical quantum mechanical examples. In the final sections we illustrate how alternative quantization procedures, e.g., spin and affine quantizations, can also have smooth paths between classical and quantum stories, and with a few brief remarks, can also lead to similar stories for non-renormalizable covariant scalar fields as well as quantum gravity.
