research work presents an important Banach Space in functional analysis which is known and called Hilbert space. We verified the crucial operations in this space and their applications in physics particularly in quantum mechanics. The operations are restricted to the unbounded linear operators densely defined in Hilbert space which is the case of prime interest in physics, precisely in quantum machines. Precisely, we discuss the role of unbounded linear operators in quantum mechanics particularly, in the study of Heisenberg uncertainty principle, time independent Schrödinger equation, Harmonic oscillation and finally, the application of Hamilton operator.
To make these analyses fruitful, the knowledge of Hilbert spaces was first investigated, followed by the spectral theory of unbounded operators, which are claimed to be densely defined in Hilbert space.
Pearl, P. (2019). Application of Unbounded Hilbert Linear Operations in Quantum Mechanics. Afribary. Retrieved from https://afribary.com/works/hilbert-space
Pearl, Precy "Application of Unbounded Hilbert Linear Operations in Quantum Mechanics" Afribary. Afribary, 21 Aug. 2019, https://afribary.com/works/hilbert-space. Accessed 28 Apr. 2024.
Pearl, Precy . "Application of Unbounded Hilbert Linear Operations in Quantum Mechanics". Afribary, Afribary, 21 Aug. 2019. Web. 28 Apr. 2024. < https://afribary.com/works/hilbert-space >.
Pearl, Precy . "Application of Unbounded Hilbert Linear Operations in Quantum Mechanics" Afribary (2019). Accessed April 28, 2024. https://afribary.com/works/hilbert-space