Creation, annihilation and motion

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SUMMARY

The discussion centers on the role of creation and annihilation operators in quantum mechanics, specifically regarding the trajectory of a particle moving from point A to point B. It is established that these operators can be mathematically interpreted as the particle being annihilated at point A and created at point B, particularly in the context of quantum field theory. The participants clarify that typically, a particle is created at the source and annihilated at the detector, reinforcing the conventional understanding of these operators in particle physics.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with quantum field theory
  • Knowledge of creation and annihilation operators
  • Basic concepts of particle trajectories
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  • Study the mathematical formulation of creation and annihilation operators in quantum field theory
  • Explore the implications of particle trajectories in quantum mechanics
  • Investigate the role of detectors in quantum experiments
  • Learn about the conservation laws in particle creation and annihilation processes
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Physicists, quantum mechanics students, and researchers interested in particle physics and quantum field theory.

Kyleric
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I'd like to know if creation and annihilation operators are involved in a free trajectory of a particle from point A to point B. If it's the case, how so?

If there is a detector at A, and another one at B, mathematically speaking, can it be said that the particle is annihilated at A, and created at B later on ?
 
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Is that how creation and annihilation operators are generally used?
Wouldn't you normally have the particle created at the source and annihilated at the detector?
 

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