New implicitly solvable potential produced by second order shape invariance
نویسندگان
چکیده
منابع مشابه
Modulation masking produced by second-order modulators.
Recent studies suggest that an auditory nonlinearity converts second-order sinusoidal amplitude modulation (SAM) (i.e., modulation of SAM depth) into a first-order SAM component, which contributes to the perception of second-order SAM. However, conversion may also occur in other ways such as cochlear filtering. The present experiments explored the source of the first-order SAM component by inve...
متن کاملShape-invariance and Exactly Solvable Problems in Quantum Mechanics
Algebraic approach to the integrability condition called shape invariance is briefly reviewed. Various applications of shape-invariance available in the literature are listed. A class of shape-invariant bound-state problems which represent two-level systems are examined. These generalize the Jaynes-Cummings Hamiltonian. Coherent states associated with shape-invariant systems are discussed. For ...
متن کاملSecond order sensitivity analysis for shape optimization of continuum structures
This study focuses on the optimization of the plane structure. Sequential quadratic programming (SQP) will be utilized, which is one of the most efficient methods for solving nonlinearly constrained optimization problems. A new formulation for the second order sensitivity analysis of the two-dimensional finite element will be developed. All the second order required derivatives will be calculat...
متن کاملSolvable Product-type System of Difference Equations of Second Order
We show that the system of difference equations zn+1 = wa n zb n−1 , wn+1 = zc n wd n−1 , n ∈ N0, where a, b, c, d ∈ Z, and initial values z−1, z0, w−1, w0 ∈ C, is solvable in closed form, and present a method for finding its solutions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of Physics
سال: 2015
ISSN: 0003-4916
DOI: 10.1016/j.aop.2015.03.020