Are discrete particles and fields both present in Quantum Mechanics?

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Quantum Mechanics (QM) incorporates both discrete particles and continuous fields, suggesting they are not mutually exclusive. This duality is reconciled within the framework of Quantum Field Theory (QFT), which unifies these concepts into a single formalism. While QFT is complex, there are beginner-friendly resources available for those interested in understanding this integration. The discussion emphasizes the importance of grasping both aspects to fully comprehend the nature of quantum phenomena. Overall, the relationship between particles and fields is a fundamental aspect of modern physics.
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Does QM contain both discrete particles and fields? If so, why aren't these two mutually exclusive? It seems like one is chunky and the other continuous.
 
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Thread 'One does not “prove” the basic principles of Quantum Mechanics'

I am slowly going through the book 'What Is a Quantum Field Theory?' by Michel Talagrand. I came across the following quote: One does not" prove” the basic principles of Quantum Mechanics. The ultimate test for a model is the agreement of its predictions with experiments. Although it may seem trite, it does fit in with my modelling view of QM. The more I think about it, the more I believe it could be saying something quite profound. For example, precisely what is the justification of...
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