Quantum to Classical: Exploring Intermediate States through Varying Uncertainty

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In summary, the conversation discusses the concept of the correspondence principle, which states that a quantum equation can be converted to its classical counterpart by replacing Planck's constant (h) with zero. However, this rule may not apply to all particles as h contributes very small for macroscopic particles and maintains units of erg-seconds as it approaches zero. The possibility of a continuum of equations with decreasing h is also mentioned, which could lead to mathematical states of decoherence and other physically viable phenomena. The speaker is exploring the idea of intermediate actions between strictly quantum and classical behaviors by varying uncertainty in a way that aligns with the correspondence principle.
  • #1
Loren Booda
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A rule of thumb seems to be that a quantum equation converts to its classical correspondent by replacing h (Planck's constant) in the former with zero for the latter. What do you think about the possibility for a continuum of intervening equations, wherein h eventually decreases to zero? Would this suggest mathematical states of decoherence, or of any physically viable phenomenon?
 
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dear,
this is with correspondance principal.Also you cannot replace h by 0 for all particles as h has dimensions.'h' contributes very small in case of macroscopic particle hence is ignorable.
 
  • #3
As h-->0, it maintains units of erg-seconds. I am trying to explore actions intermediate to those strictly quantum or classical by varying uncertainty in a manner consistent with such a "rule of thumb" as I mentioned above.
 

FAQ: Quantum to Classical: Exploring Intermediate States through Varying Uncertainty

What is continuity of correspondence?

Continuity of correspondence is a concept in science that refers to the consistency and coherence of data or information between different sources or experiments. It is an important aspect of scientific research as it ensures that the conclusions drawn from the data are accurate and reliable.

Why is continuity of correspondence important in scientific research?

Continuity of correspondence is important because it ensures that the data and information used in scientific research are consistent and coherent. This helps to prevent errors and inaccuracies in the conclusions drawn from the research, making the results more reliable and trustworthy.

How is continuity of correspondence achieved?

Continuity of correspondence is achieved through careful planning and rigorous testing. Scientists must design experiments and collect data in a consistent and systematic manner, and also compare their results with previous studies to ensure consistency. Additionally, peer review and replication of experiments are important steps in achieving continuity of correspondence.

What are the consequences of a lack of continuity of correspondence?

A lack of continuity of correspondence can lead to inaccurate or misleading conclusions. This can have serious consequences, such as wasted resources, incorrect assumptions, and even harm to individuals if the research is used to make important decisions in fields like medicine or public policy. It can also damage the credibility of the scientific community.

How can scientists ensure continuity of correspondence in their research?

To ensure continuity of correspondence, scientists should carefully design experiments, use standardized methods, accurately record and analyze data, and compare their results with previous studies. They should also subject their research to peer review and replication by other scientists. Additionally, proper data management and sharing can help to maintain continuity of correspondence in the scientific community.

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