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Quantum mechanics is often considered as a relatively obscure physics course, which not only subverts beginners' cognition for Newton's motion laws in classical mechanics but also makes learners afraid, because of its complicated and profound mathematical theories in quantum mechanics. Thus, this article will, from the perspective of quantum mechanics, discuss the fundamental differences between the connotation of Hilbert space and spaces in classical mechanics. The application of Hilbert space in quantum mechanics will be expounded then. Finally, based on learners' difficulties existing in learning process, several teaching suggestions will be presented for future teaching reference.
Meng et al. (Wed,) studied this question.