Who Studies Partial Wave Unitarity in Quantum Mechanics?

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SUMMARY

The discussion centers on "Partial Wave Unitarity" in Quantum Mechanics, specifically addressing the conditions under which the scattering amplitude squared (|A|^2) reaches its maximum value. It is established that this maximum occurs when sin^2(delta) equals 1, leading to the constraint |A|^2 ≤ 4π(2L+1)²/k² for spinless particles. The conversation highlights that this concept is widely studied within the field, particularly when considering the implications of spin factors.

PREREQUISITES
  • Understanding of Quantum Mechanics principles
  • Familiarity with scattering theory
  • Knowledge of phase shifts in wave functions
  • Basic grasp of angular momentum in quantum systems
NEXT STEPS
  • Research the implications of spin factors in Partial Wave Unitarity
  • Study the mathematical derivation of scattering amplitudes
  • Explore applications of Partial Wave Unitarity in particle physics
  • Learn about the role of phase shifts in quantum scattering processes
USEFUL FOR

Physicists, quantum mechanics students, and researchers focusing on scattering theory and its applications in particle physics will benefit from this discussion.

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Partial Wave Unitarity ??

Is there anyone who deals with "Partial Wave Unitarity" in Quantum Mechanics before??
 
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"Partial wave unitarity" means that the largest possible scattering amplitude squared (|A|^2) for any partial wave is when sin^2(delta)=1, where delta is the phase shift.
This means that |A|^2 is limited by 4 pi(2L+1)^2/k^2.
That is for spinless particles. Spin factors come in otherwise.
Many people deal with this.
 

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