Question about Gaussian wave packet

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SUMMARY

The discussion centers on solving a problem related to Gaussian wave packets in quantum mechanics. Participants emphasize the importance of accurately calculating integrals and completing the square in the context of wave functions. Specific attention is given to the exponential factor in the calculations, which is crucial for obtaining the correct solution. The conversation highlights common pitfalls in handling complex functions and the need for meticulous verification of each step in the solution process.

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  • Understanding of Gaussian wave packets in quantum mechanics
  • Proficiency in integral calculus, particularly with complex functions
  • Familiarity with the method of completing the square
  • Knowledge of exponential functions and their properties
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  • Study the properties of Gaussian wave packets in quantum mechanics
  • Practice integral calculus involving complex functions
  • Learn techniques for completing the square in various mathematical contexts
  • Explore the implications of exponential factors in wave function calculations
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Students and professionals in physics, particularly those focused on quantum mechanics, as well as mathematicians dealing with complex integrals and wave functions.

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Homework Statement


http://cafeptthumb2.phinf.naver.net/MjAxNzAzMTVfMjcw/MDAxNDg5NTY5MTEwOTk5.FfccOAaDqBZbb9wXwuUWda8EN1aVvzMdcXO0GvaWwTsg.EjdATfmPtj-DteqAXFu9urHMslV8JTeridwC4ZNoJ68g.PNG.nikel92/asfasf.PNG?type=w740

Homework Equations

The Attempt at a Solution


http://cafeptthumb2.phinf.naver.net/MjAxNzAzMTVfMTk5/MDAxNDg5NTY5MTExNTIw.4LJ_551zal_jTeWLSObHiqdLPvaKKsKjrYrDzjkqVrUg.20VhdFGF31Bvi_la0HWc-BCkAFfafevKhQCMn-EG20gg.JPEG.nikel92/KakaoTalk_20170315_181019347.jpg?type=w740

I think i solved the (a), but i can't calculate the integral because the function is to complex.
 
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check your work..., as I work thru this, I am getting something different, be careful with completing the square

So far so good...check your exponential factor
 
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