Hyperbolic Sine - Exponent transition

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SUMMARY

The discussion focuses on the mathematical transition involving the hyperbolic sine function and its relationship with exponential functions. Specifically, the transition discussed includes multiplying terms by the complex exponential factor ##e^{ih\omega/2}## and subsequently by -1. This process is crucial for simplifying expressions in quantum mechanics and signal processing contexts.

PREREQUISITES
  • Understanding of hyperbolic functions and their properties
  • Familiarity with complex exponential notation
  • Basic knowledge of quantum mechanics principles
  • Experience with mathematical manipulation of equations
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  • Study the properties of hyperbolic sine and cosine functions
  • Learn about the applications of complex exponentials in physics
  • Explore mathematical techniques for simplifying expressions in quantum mechanics
  • Investigate the role of exponential functions in signal processing
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Students and professionals in mathematics, physics, and engineering who are working with hyperbolic functions and complex exponentials, particularly in the fields of quantum mechanics and signal processing.

porcupineman23
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Hey
I didn't understand the transition below,
I'd be glad for some help
thanks
 

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Multiply all the terms by ##e^{ih\omega/2}##.
Then multiply all the terms by -1.
 
Thanks !
 

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