Zobrazeno 1 - 10
of 149
pro vyhledávání: '"Axel Schulze"'
Autor:
Axel Schulze-Halberg
Publikováno v:
Acta Polytechnica, Vol 63, Iss 4 (2023)
We generate solvable cases of the two angular equations resulting from variable separation in the three-dimensional Dunkl-Schrödinger equation expressed in spherical coordinates. It is shown that the Dunkl formalism interrelates these angular equati
Externí odkaz:
https://doaj.org/article/8c07864878c04f71825fd69bffdf4f5f
Autor:
Axel Schulze-Halberg, Jie Wang
Publikováno v:
Symmetry, Vol 7, Iss 2, Pp 412-426 (2015)
We construct confluent supersymmetric partners of quantum systems that emerge from the spheroidal equation. Properties of the systems and of their transformed counterparts are discussed.
Externí odkaz:
https://doaj.org/article/dacb11aca1f84b6f9b34672a1e5c2254
Publikováno v:
Symmetry, Vol 1, Iss 2, Pp 115-144 (2009)
We review recent results on how to extend the supersymmetry SUSY normalism in Quantum Mechanics to linear generalizations of the time-dependent Schrödinger equation in (1+1) dimensions. The class of equations we consider contains many known cases, s
Externí odkaz:
https://doaj.org/article/c5f7e9898ccf4cd3a2af31d4942d9289
Autor:
Axel Schulze-Halberg
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2011 (2011)
It is shown that a nonsolvable third-order hyperbolic potential becomes quasi-exactly solvable after the introduction of a hyperbolic effective mass step. Stationary energies and L2-solutions of the corresponding Schrödinger equation are obtained in
Externí odkaz:
https://doaj.org/article/fc5cdac238394a0f8adf3899e8f8cc32
Autor:
Halberg, Axel Schulze, Roy, Pinaki
We devise a supersymmetry-based method for the construction of zero-energy states in graphene. Our method is applied to a two-dimensional massless Dirac equation with a hyperbolic scalar potential. We determine supersymmetric partners of our initial
Externí odkaz:
http://arxiv.org/abs/1707.01724
Autor:
Jared Cobb, Karolina Szczesna, Axel Schulze, Huy Ngo, McKenna Doyle, Tyler Do, Minh Vu, John Nguyen, Julia Löffler, Maryna Borshchivska, Deborah Bergmann, Elizabeth Shin, Tobias Hartmann, Damien Gruson
Publikováno v:
Clinical Chemistry and Laboratory Medicine (CCLM). 61:e121-e125
Autor:
Axel Schulze-Halberg
Publikováno v:
International Journal of Modern Physics A.
Publikováno v:
The European Physical Journal Plus. 138
Autor:
Axel Schulze-Halberg
Publikováno v:
Journal of Computational and Applied Mathematics. 427:115143
Arbitrary-order Darboux transformations for Dunkl–Schrödinger equations with position-dependent mass
Autor:
Axel Schulze-Halberg
Publikováno v:
Modern Physics Letters A. 37
We use a symmetrized Hamiltonian containing Dunkl operators to generate a Dunkl–Schrödinger equation with position-dependent mass. Our equation is shown to admit arbitrary-order Darboux transformations if the mass either has odd parity or is an in