New Exactly Solvable Isospectral Partners for PT Symmetric Potentials
نویسندگان
چکیده
We examine in detail the possibilty of applying Darboux transformation to non Hermitian hamiltonians. In particular we propose a simple method of constructing exactly solvable PT symmetric potentials by applying Darboux transformation to higher states of an exactly solvable PT symmetric potential. It is shown that the resulting hamiltonian and the original one are pseudo supersymmetric partners. We also discuss application of Darboux transformation to hamiltonians with spontaneously broken PT symmetry. e-mail : [email protected] e-mail : [email protected]
منابع مشابه
un 2 00 3 An exactly solvable PT symmetric potential from the Natanzon class
The PT symmetric version of the generalised Ginocchio potential, a member of the general exactly solvable Natanzon potential class is analysed and its properties are compared with those of PT symmetric potentials from the more restricted shape-invariant class. It is found that the PT symmetric generalised Ginocchio potential has a number of properties in common with the latter potentials: it ca...
متن کاملNon-Hermitian von Roos Hamiltonian’s η-weak-pseudo-Hermiticity and exact solvability
A complexified von Roos Hamiltonian is considered and a Hermitian first-order intertwining differential operator is used to obtain the related position dependent mass η-weak-pseudo-Hermitian Hamiltonians. Two ”user -friendly” reference-target maps are introduced to serve for exactsolvability of some non-Hermitian η-weak-pseudo-Hermitian position dependent mass Hamiltonians. A non-Hermitian PT -...
متن کاملar X iv : q ua nt - p h / 05 05 22 1 v 1 3 0 M ay 2 00 5 PT symmetric models with nonlinear pseudo supersymmetry
By applying the higher order Darboux algorithm to an exactly solvable non Hermitian PT symmetric potential, we obtain a hierarchy of new exactly solvable non Hermitian PT symmetric potentials with real spectra. It is shown that the symmetry underlying the potentials so generated and the original one is nonlinear pseudo supersymmetry. We also show that this formalism can be used to generate a la...
متن کاملAnalytically Solvable PT-Invariant Periodic Potentials
Associated Lamé potentials V (x) = a(a + 1)msn2(x,m) + b(b + 1)mcn2(x,m)/dn(x,m) are used to construct complex, PT-invariant, periodic potentials using the anti-isospectral transformation x→ ix+ β, where β is any nonzero real number. These PT-invariant potentials are defined by V PT (x) ≡ −V (ix + β), and have a different real period from V (x). They are analytically solvable potentials with a ...
متن کاملua nt - p h / 00 11 08 9 v 1 2 1 N ov 2 00 0 1 A new class of PT - symmetric Hamiltonians with real spectra
We investigate complex PT-symmetric potentials, associated with quasi-exactly solvable non-hermitian models involving polynomials and a class of rational functions. We also look for special solutions of intertwining relations of SUSY Quantum Mechanics providing a partnership between a real and a complex PT-symmetric potential of the kind mentioned above. We investigate conditions sufficient to ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003