Quantum field theory VS Quantum mechanics

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SUMMARY

In theoretical physics, both Quantum Mechanics and Quantum Field Theory (QFT) are essential for describing the quantum world, particularly in the context of metals. Quantum Mechanics is often sufficient for basic descriptions, while Quantum Field Theory provides a more detailed and powerful framework. Typically, one starts with Quantum Mechanics and transitions to Quantum Field Theory for complex scenarios requiring greater precision.

PREREQUISITES
  • Understanding of Quantum Mechanics principles
  • Familiarity with Quantum Field Theory concepts
  • Basic knowledge of particle physics
  • Concept of wave-particle duality
NEXT STEPS
  • Study the differences between Quantum Mechanics and Quantum Field Theory
  • Explore applications of Quantum Field Theory in condensed matter physics
  • Learn about particle interactions in Quantum Field Theory
  • Investigate the role of symmetries in Quantum Mechanics and Quantum Field Theory
USEFUL FOR

The discussion is beneficial for theoretical physicists, students of physics, and anyone interested in the foundational concepts of Quantum Mechanics and Quantum Field Theory.

AleksanderPhy
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Hello I am little bit confused about one topic on theoretical Physics and that is If we want to describe our Quantum world (example atoms in metal) then should I use Quantum field theory or Quantum mechanics?
 
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If you want to have enough detail, you need quantum field theory, but in many cases, quantum mechanics is sufficient. Metals can be described in both ways. Usually one begins with the particle description (quantum mechanics) and then switches to the field description (quantum field theory) as it is more powerful.
 
A. Neumaier said:
If you want to have enough detail, you need quantum field theory, but in many cases, quantum mechanics is sufficient. Metals can be described in both ways. Usually one begins with the particle description (quantum mechanics) and then switches to the field description (quantum field theory) as it is more powerful.
Thanks for such great awnser!
 

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