TY - JOUR
T1 - Exact solutions to solitonic profile mass Schrödinger problem with a modified Pöschl-Teller potential
AU - Dong, Shishan
AU - Fang, Qin
AU - Falaye, B. J.
AU - Sun, Guo Hua
AU - Yáñez-Márquez, C.
AU - Dong, Shi Hai
N1 - Publisher Copyright:
© 2016 World Scientific Publishing Company.
PY - 2016/2/10
Y1 - 2016/2/10
N2 - We present exact solutions of solitonic profile mass Schrödinger equation with a modified Pöschl-Teller potential. We find that the solutions can be expressed analytically in terms of confluent Heun functions. However, the energy levels are not analytically obtainable except via numerical calculations. The properties of the wave functions, which depend on the values of potential parameter - are illustrated graphically. We find that the potential changes from single well to a double well when parameter - changes from minus to positive. Initially, the crest of wave function for the ground state diminishes gradually with increasing - and then becomes negative. We notice that the parities of the wave functions for n > 1 also change.
AB - We present exact solutions of solitonic profile mass Schrödinger equation with a modified Pöschl-Teller potential. We find that the solutions can be expressed analytically in terms of confluent Heun functions. However, the energy levels are not analytically obtainable except via numerical calculations. The properties of the wave functions, which depend on the values of potential parameter - are illustrated graphically. We find that the potential changes from single well to a double well when parameter - changes from minus to positive. Initially, the crest of wave function for the ground state diminishes gradually with increasing - and then becomes negative. We notice that the parities of the wave functions for n > 1 also change.
KW - Solitonic profile mass density
KW - confluent Heun functions
KW - modified Pöschl-Teller potential
UR - http://www.scopus.com/inward/record.url?scp=84959375002&partnerID=8YFLogxK
U2 - 10.1142/S0217732316500176
DO - 10.1142/S0217732316500176
M3 - Artículo
SN - 0217-7323
VL - 31
JO - Modern Physics Letters A
JF - Modern Physics Letters A
IS - 4
M1 - 1650017
ER -