Exploring 2nd Quantisation in the WDW Equation

In summary, the conversation discusses the concept of second quantization in the context of Quantum Field Theory. The WDW equation, which involves the quantization of the background field, is mentioned as a potential topic of interest. The article provided also covers the solution of the WDW equation, including potential well and tunneling effects. Other papers on the WDW equation can be found on arxiv.com.
  • #1
Quantizer
26
0
In QFT the background field is 2nd Quantised as opposed to remaining classical

What exactly gets 2nd Quantised in the WDW Equation

Geometry of SpaceTime
Or
Matter Energy
Or
Gravity
Or
Some combination of the above, if so what is the combination
 
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  • #2
here is an article covering WDW, which is probably what your looking for based on your your related posts.

Solution Of Wheeler-De Witt Equation, Potential Well And Tunnel Effect.

http://arxiv.org/ftp/arxiv/papers/0705/0705.2083.pdf

you can easily find other papers showing a large variety of solutions by simply googling WDW equation. I would stick to the arxiv papers though lol. Thought you'd be interested in the paper.
 

FAQ: Exploring 2nd Quantisation in the WDW Equation

What is 2nd quantisation in the WDW equation?

2nd quantisation is a mathematical technique used in quantum mechanics to describe the behavior of particles as waves rather than individual point-like objects. In the WDW (Wheeler-DeWitt) equation, it is used to describe the evolution of a quantum state in a closed system.

Why is 2nd quantisation important in the WDW equation?

2nd quantisation is important because it allows us to describe the behavior of particles in a more accurate and comprehensive way. It takes into account the quantum nature of particles and their interactions, which is crucial in understanding the behavior of systems at the microscopic level.

How does 2nd quantisation differ from 1st quantisation?

In 1st quantisation, particles are described as point-like objects with definite positions and momenta. In 2nd quantisation, particles are described as wave-like objects with a probability distribution of positions and momenta. Additionally, in 2nd quantisation, particles can interact with each other, whereas in 1st quantisation, particles are treated as independent entities.

What are the applications of 2nd quantisation in the WDW equation?

2nd quantisation has various applications in the WDW equation, such as in the study of quantum field theory, quantum gravity, and cosmology. It is also used in condensed matter physics to describe systems with a large number of particles, such as superconductors and superfluids.

Can 2nd quantisation be applied to all systems?

No, 2nd quantisation is not applicable to all systems. It is most useful in systems with a large number of particles, such as atoms, molecules, and solids. It is also not applicable to systems with strong interactions or high energies, such as black holes.

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