The attractive nonlinear delta-function potential
نویسندگان
چکیده
منابع مشابه
Delta-Function Potential with a Complex Coupling
We explore the Hamiltonian operator H = − d2 dx2 + z δ(x) where x ∈ R, δ(x) is the Dirac delta function, and z is an arbitrary complex coupling constant. For a purely imaginary z, H has a spectral singularity at E = −z2/4 ∈ R+. For R(z) < 0, H has an eigenvalue at E = −z2/4. For the case that R(z) > 0, H has a real, positive, continuous spectrum that is free from spectral singularities. For thi...
متن کاملDelta-Function Potential with Complex Coupling
We explore the Hamiltonian operator H = − d2 dx2 + z δ(x) where x ∈ R, δ(x) is the Dirac delta function, and z is an arbitrary complex coupling constant. For a purely imaginary z, H has a spectral singularity at E = −z2/4 ∈ R+. For R(z) < 0, H has an eigenvalue at E = −z2/4. For the case that R(z) > 0, H has a real, positive, continuous spectrum that is free from spectral singularities. For thi...
متن کاملComment on ‘ Dimensional expansion for the delta - function potential ’
I criticize the claim, made in a recent article (Bender C M and Mead L R 1999 Eur. J. Phys. 20 117–21), that in order to obtain the correct cross section for the scattering from a two-dimensional delta-function potential one must perform analytic continuation in the dimension of space. In a recent paper Bender and Mead [1] obtained the total cross section for the scattering from an attractive d...
متن کاملbound state energy of delta-function potential: a new regularization scheme
in this letter we have proposed a new regularization scheme to deal with the divergent integralsoccurring in the quantum mechanical problem of calculating the bound state energy of the delta-functionpotential in two and three dimensions. based on the schwinger parameterization technique we argue thatthere are no infinities even in d dimensions. in this way we were able to compare our proposal w...
متن کاملDirac delta potential problem
We show that the N = 2 superextended 1D quantum Dirac delta potential problem is characterized by the hidden nonlinear su(2|2) superunitary symmetry. The supersymmetry admits three distinct Z2-gradings, that results in a separation of 16 integrals of motion into different sets of 8 bosonic and 8 fermionic operators generating two nonlinear, deformed forms of su(2|2), in which the Hamiltonian pl...
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: American Journal of Physics
سال: 2002
ISSN: 0002-9505,1943-2909
DOI: 10.1119/1.1417529