This paper presents an underlying analytical relationship between the PT-pseudo-norm associated with the PT-symmetric Hamiltonian H = p 2 + V (q) and the Stokes multiplier of the differential equation corresponding to this Hamiltonian. We show that the sign alternation of PT-pseudo-norm, which has been observed as a generic feature of the PT-inner product,… (More)
This paper presents an underlying analytical relationship between PT-norm associated with a PT-symmetric Hamiltonian H = p 2 + V (q) and the Stokes multiplier of the differential equation corresponding to this Hamiltonian. We show that the alternation sign of PT-norm, which has recently emerged in many works on the subject, is essentially controlled by the… (More)
The aim of this paper is to discuss the simpleness of zeros of Stokes multipliers associated with the differential equation −Φ ′′ (X) + W (X)Φ(X) = 0, where W (X) = X m + a 1 X m−1 + · · · + a m is a real monic polynomial. We show that, under a suitable hypothesis on the coefficients a k , all the zeros of the Stokes multipliers are simple.
—A three-axis piezoresistive accelerometer which has adjustable resolutions to three axes was developed using MicroElectroMechanical Systems (MEMS) technology. This sensor made of a heavy proof mass and four long beams is to obtain high resolutions by reducing resonance frequencies. Adjustable resolution with small cross axis sensitivity could be obtained… (More)