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WORLD SCIENTIFIC eBooks

Essentials of Quantum Mechanics and Relativity

Shangwu Qian

Published Apr 29, 2020• 1 citation
Publisher
DOI
10.1142/11854

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Why does the i=−1i=\sqrt{-1}i=−1​ appear essentially in the quantum mechanics? Why are there operators and noncommutativity (the uncertainty relation) in the quantum mechanics? Why are these two aspects closely related and indivisible? In probing these problems, a new point of view is proposed tentatively.
Some conceptual problems in physics are discussed. Do we need a change in the concept of matter structure? Why the ``i=−1i=\sqrt{-1}i=−1​'' is introduced to quantum mechanics (QM) essentially? What is the relation between QM and special relativity (SR)? Could we modify the stationary Schro¨\ddot{\rm o}o¨dinger equation in conformity with SR? How can a particle acquire a mass? We propose some tentative answer. Their philosophical implications are emphasized.