%0 Journal Article %1 noKey %A Mikulski, Damian %A Molski, Marcin %A Konarski, Jerzy %A Eder, Krzysztof %D 2014 %I Springer Netherlands %J Journal of Mathematical Chemistry %K equation mechanics physics quantum schrodinger solution susy unread %N 1 %P 162-173 %R 10.1007/s10910-013-0251-7 %T The construction of ladder operators and coherent states for the Wei Hua anharmonic oscillator using the supersymmetric quantum mechanics %U http://dx.doi.org/10.1007/s10910-013-0251-7 %V 52 %X The unknown ladder operators for the Wei Hua potential have been derived within the algebraic approach. The method is extended to include the rotating oscillator. The annihilation and creation operators have been obtained with the use of the factorization method. The coherent states for the Wei Hua anharmonic oscillator, which are eigenstates of the annihilation operator and minimize the generalized position-momentum uncertainty relation, are constructed in the framework of the supersymmetric quantum mechanics. The constructed ladder operators can be applied to compute the matrix elements in theoretical spectroscopy due to the fact that this potential is widely used to a proper description the large-amplitude vibrations of diatomic molecules.

@article{noKey, abstract = {The unknown ladder operators for the Wei Hua potential have been derived within the algebraic approach. The method is extended to include the rotating oscillator. The annihilation and creation operators have been obtained with the use of the factorization method. The coherent states for the Wei Hua anharmonic oscillator, which are eigenstates of the annihilation operator and minimize the generalized position-momentum uncertainty relation, are constructed in the framework of the supersymmetric quantum mechanics. The constructed ladder operators can be applied to compute the matrix elements in theoretical spectroscopy due to the fact that this potential is widely used to a proper description the large-amplitude vibrations of diatomic molecules.}, added-at = {2014-01-17T03:43:22.000+0100}, author = {Mikulski, Damian and Molski, Marcin and Konarski, Jerzy and Eder, Krzysztof}, biburl = {https://www.bibsonomy.org/bibtex/27bee2c3d198fbcf10d8904f23ccf4280/drmatusek}, doi = {10.1007/s10910-013-0251-7}, interhash = {e8ba471d807657c6d6ee5ecb610cc0fe}, intrahash = {7bee2c3d198fbcf10d8904f23ccf4280}, issn = {0259-9791}, journal = {Journal of Mathematical Chemistry}, keywords = {equation mechanics physics quantum schrodinger solution susy unread}, language = {English}, month = jan, number = 1, pages = {162-173}, publisher = {Springer Netherlands}, timestamp = {2014-01-17T03:43:22.000+0100}, title = {The construction of ladder operators and coherent states for the Wei Hua anharmonic oscillator using the supersymmetric quantum mechanics}, url = {http://dx.doi.org/10.1007/s10910-013-0251-7}, volume = 52, year = 2014 }