What is the Solution for Canceling Out Terms in QM Calculation?

In summary, the conversation is about solving a problem related to the Schrodinger equation in quantum mechanics. The person had almost solved it by cancelling out the first two terms, but was unsure of what to do next. They were reminded to use integration by parts and adjust for the Schrodinger equation, which would result in a term similar to potential energy. It was suggested to refer to a book for direct calculations.
  • #1
athrun200
277
0

Homework Statement



attachment.php?attachmentid=36736&stc=1&d=1309074422.jpg


Homework Equations


attachment.php?attachmentid=36738&stc=1&d=1309074431.jpg



3. The Attempt at a Solution
attachment.php?attachmentid=36737&stc=1&d=1309074422.jpg


I almost get the answer as long as I can cancel out the first 2 terms.
But they are different, what can I do now?
 

Attachments

  • 1.jpg
    1.jpg
    7 KB · Views: 392
  • 2.jpg
    2.jpg
    22.8 KB · Views: 404
  • 3.jpg
    3.jpg
    18.5 KB · Views: 382
Physics news on Phys.org
  • #2
now you do the integral
 
  • #3
Isn't there supposed to be a minus in the Schroedinger equation ? (-hbar^2 / 2m d^2 psi / dx^2)
 
  • #4
the first term will cancel after 2 applications of integration by parts. the second term will need some adjustment with schrodinger equation and cancel out. at the end you end up with a term thatll look like the potential energy only from the schrodinger equation.
 
  • #5
i believe you can find the direct calculation on introduction to QM by griffiths, not certain though
 

FAQ: What is the Solution for Canceling Out Terms in QM Calculation?

1. What is the concept of Expect value in scientific research?

The Expect value, also known as E-value, is a statistical measure used to determine the likelihood that a sequence or pattern in a dataset occurs by chance. It is commonly used in bioinformatics and other fields of research that involve large datasets.

2. How is Expect value calculated?

The Expect value is calculated using a mathematical formula that takes into account the length of the query sequence, the size of the database, and the number of matches or hits that are found. It is typically represented as a decimal number, with lower values indicating a higher significance or likelihood of a true match.

3. What does a low Expect value indicate?

A low Expect value indicates that the match between the query sequence and the database sequence is unlikely to occur by chance. This suggests that the match is biologically significant and may represent a true homologous relationship between the two sequences.

4. Can Expect value be used to compare different datasets?

Yes, Expect value can be used to compare different datasets as long as the same database and scoring parameters are used. However, it is important to note that different databases and scoring parameters can affect the E-value, so caution should be taken when comparing results from different sources.

5. Is a lower Expect value always better?

In general, a lower Expect value is better and indicates a higher significance of the match. However, it is important to consider the context of the research and the specific dataset being analyzed. A lower Expect value may not necessarily be biologically significant and further analysis may be needed to confirm the validity of the match.

Similar threads

Replies
3
Views
2K
Replies
5
Views
1K
Replies
2
Views
2K
Replies
14
Views
2K
Replies
9
Views
2K
Replies
2
Views
2K
Back
Top