Published January 26, 2025
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HILBERT SPACES AND THEIR APPLICATIONS IN QUANTUM MECHANICS
- 1. Students of "Applied Mathematics" branch of Jizzakh National University of Uzbekistan
Description
This paper explores the concept of Hilbert spaces and their applications in quantum mechanics. First, the definition and properties of Hilbert spaces are analyzed, followed by an explanation of their use in quantum mechanics. Additionally, fundamental concepts of quantum mechanics, including wave functions and expectation value operators, are described in terms of Hilbert spaces. The paper also presents mathematical solutions to key applications of Hilbert spaces in quantum mechanics.
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HILBERT SPACES AND THEIR APPLICATIONS IN QUANTUM MECHANICS.pdf
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