Question

Why is self adjoint extensions important in physics?

Answer 1

hello friend here is your answer.
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Operators in quantum mechanics are extremely important because the whole quantum mechanics is formulated in terms of operators. Any physical quantity which can be measured experimentally is abbreviated as observable, and therefore it should be associated with a self-adjoint linear operator.
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Answer 2

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• The main goal of the thesis is to understand whether the operator used in the considered problem has self-adjoint extensions or not.
• This is Page 12 2 important because since, the operators are associated with the observables it then provides physically important outcomes.

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