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Results tagged with mathematical-physics
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user 185809
DO NOT USE THIS TAG just because your question involves math! If your question is on simplification of a mathematical expression, please ask it at math.stackexchange.com. Mathematical physics is the mathematically rigorous study of the foundations of physics, and the application of advanced mathematical methods to problems in physics. Examples include partial differential equations (PDEs), variational calculus, functional analysis, and potential theory.
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Spectral theorem for unbounded self-adjoint (hermitian) operators
It is my understanding that in quantum mechanics we use self-adjoint operators (that is an axiom of the theory). This operators can be either bounded or unbounded, being the latter the more general ca …
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Real eigenvalues of continuum spectrum of a self-adjoint operator
Is my understanding that if you assume eigenvectors of a self-adjoint operator are in Hilbert space, then is easy to prove that the eigenvalues must be real. However, it could happen that the "eigenve …
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Spectral theorem and infinite square well
I was reading about the solution to the infinite square well and it imposes boundary conditions that make the wavefunction 0 outside the well. So, that means that physically any initial state is a sub …