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- W1971569053 abstract "Consider in , the operator family . H0 = a*1a1 + + a*dad + d/2 is the quantum harmonic oscillator with rational frequencies, W is a symmetric bounded potential, and g is a real coupling constant. We show that if |g| < ?, ? being an explicitly determined constant, the spectrum of H(g) is real and discrete. Moreover we show that the operator has a real discrete spectrum but is not diagonalizable." @default.
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- W1971569053 date "2007-08-01" @default.
- W1971569053 modified "2023-09-23" @default.
- W1971569053 title "symmetric non-self-adjoint operators, diagonalizable and non-diagonalizable, with a real discrete spectrum" @default.
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- W1971569053 doi "https://doi.org/10.1088/1751-8113/40/33/014" @default.
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