Supported by the following organizations
This is to certify that Arthur (爱希) Chapin successfully completed and received a passing grade in SOE-YEEQMSE01: Quantum Mechanics for Scientists and Engineers 1 a course of study offered by StanfordOnline, an online learning initiative of Stanford University.
Noted by
David Miller
W. M. Keck Foundation Professor of Electrical Engineering Professor, by courtesy, of Applied Physics Stanford University
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- Verified Certificate Issued April 11, 2025
- Valid Certificate ID e4b5b27fb8964a7dab23eed32f40064f
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Please note: some online courses may draw on material from courses taught on-campus but they are not equivalent to on-campus courses. This statement does not affirm that this participant was enrolled as a student at Stanford University in any way. It does not confer a Stanford University grade, course credit or degree.