We directly use the quantum-invariant operator method to obtain the closed-form solution to the one-dimensional Dirac equation with a time-changing mass with a little manipulation. The solution got is also applicable...We directly use the quantum-invariant operator method to obtain the closed-form solution to the one-dimensional Dirac equation with a time-changing mass with a little manipulation. The solution got is also applicable for the case with time-independence mass.展开更多
In a simple way,as described in Ref.[2,3],which establishes a new link berween the trigonometric Poeschl-Teller potential(Called PT-I potential)and hyperbolic Poeschl-Teller potential (called PT-Ⅱpotential),we will s...In a simple way,as described in Ref.[2,3],which establishes a new link berween the trigonometric Poeschl-Teller potential(Called PT-I potential)and hyperbolic Poeschl-Teller potential (called PT-Ⅱpotential),we will show that and how the s-wave bound state solutions for hyperbolic Poeschl-Teller potential may be obtained without dealing with the special function.展开更多
Using the approach of mapping of shape invariant potentials under point canonical transformations, the energy spectra and wave functions are most easily determined for the bound states of the five-parameter exponentia...Using the approach of mapping of shape invariant potentials under point canonical transformations, the energy spectra and wave functions are most easily determined for the bound states of the five-parameter exponential-type potential with a little extra effort.展开更多
文摘We directly use the quantum-invariant operator method to obtain the closed-form solution to the one-dimensional Dirac equation with a time-changing mass with a little manipulation. The solution got is also applicable for the case with time-independence mass.
文摘In a simple way,as described in Ref.[2,3],which establishes a new link berween the trigonometric Poeschl-Teller potential(Called PT-I potential)and hyperbolic Poeschl-Teller potential (called PT-Ⅱpotential),we will show that and how the s-wave bound state solutions for hyperbolic Poeschl-Teller potential may be obtained without dealing with the special function.
文摘Using the approach of mapping of shape invariant potentials under point canonical transformations, the energy spectra and wave functions are most easily determined for the bound states of the five-parameter exponential-type potential with a little extra effort.
