Fractional operator powers generate non-positivity constraints that determine the SYK bilinear spectrum and converge to exact eigenvalues under truncation.
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All separable Hilbert spaces of a given dimension are isomorphic, so there are only six basic coordinate operator types; their conjugate momenta form seven basic pairs via direct self-adjointness, self-adjoint extensions, or Neumark extensions.
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Quantum mechanical bootstrap without inequalities: SYK bilinear spectrum
Fractional operator powers generate non-positivity constraints that determine the SYK bilinear spectrum and converge to exact eigenvalues under truncation.
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All Hilbert spaces are the same: consequences for generalized coordinates and momenta
All separable Hilbert spaces of a given dimension are isomorphic, so there are only six basic coordinate operator types; their conjugate momenta form seven basic pairs via direct self-adjointness, self-adjoint extensions, or Neumark extensions.