Kinetic Energy: T or K in Mechanics/QM?

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SUMMARY

Kinetic energy in classical mechanics is denoted as T, while in quantum mechanics (QM), it is sometimes represented as K. This duality in notation raises questions about historical conventions and the evolution of terminology in physics. The discussion hints at a deeper, possibly esoteric significance behind these notations, suggesting a long-standing tradition that remains partially obscured. Understanding these distinctions is crucial for students and professionals in physics to grasp the nuances of energy representation across different domains.

PREREQUISITES
  • Familiarity with classical mechanics concepts, specifically kinetic energy.
  • Understanding of quantum mechanics and its operators.
  • Knowledge of historical context in scientific terminology.
  • Basic grasp of physics notation and symbols.
NEXT STEPS
  • Research the historical evolution of kinetic energy notation in physics.
  • Explore the differences between classical and quantum mechanical representations of energy.
  • Study the implications of operator notation in quantum mechanics.
  • Investigate the significance of terminology in scientific communication.
USEFUL FOR

Physics students, educators, and professionals interested in the historical and conceptual foundations of energy representation in mechanics and quantum mechanics.

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In classical mechanics, the kinetic energy is denoted T. Why not K? In QM the kinetic energy operator is sometimes denoted by T as well although I have seen it denoted as K.
 
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