On a Lie algebraic approach of quasi-exactly solvable potentials with two known eigenstates
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quasi-exactlysolvablealgebraicapproachapproachescomparedevelopmentseigenstates
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We compare two recent approaches of quasi-exactly solvable Schr\" odinger equations, the first one being related to finite-dimensional representations of $sl(2,R)$ while the second one is based on supersymmetric developments. Our results are then illustrated on the Razavy potential, the sextic oscillator and a scalar field model.
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On the role of the slowest observable in one-dimensional Markov processes to construct quasi-exactly-solvable generators with $N=2$ explicit levels
Centering the slowest observable L1(x) as the starting point simplifies the construction of quasi-exactly-solvable Markov generators with two explicit levels for Fokker-Planck and jump processes.
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