Verified Certificate

Supported by the following organizations

This is to certify that massimo mongillo successfully completed and received a passing grade in 8.04.1x: Quantum Mechanics: Wavefunctions, operators, and expectation values a course of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology.

Noted by

Krishna Rajagopal

Krishna Rajagopal

Dean for Digital Learning Massachusetts Institute of Technology

Barton Zwiebach

Barton Zwiebach

Professor of Physics Massachusetts Institute of Technology

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