A Particle Interacting with V-shaped Potential Decorated by a Dirac Delta Function Interaction at Center

作者：Wang Xin^*; Tang Liang Hui; Wu Reng Lai; Wang Nan; Liu Quan Hui

来源：Communications in Theoretical Physics, 2010, 53(2): 247-249.

• exact solutions
• bound states
• Dirac delta function

The Schrodinger equation for a particle in the V-shaped potential decorated by a repulsive or attractive Dirac delta function interaction at the center is solved, demonstrating the crucial influence of point interaction on the even-parity states of the original system without decoration. As strength of the attraction increases, the ground state energy falls down without limit; and in limit of infinitely large attraction, the ground state approaches a singular state. Our analysis and conclusion can be readily generalized to any one-dimensional system a particle interacts with symmetrical potential plus the Dirac delta function interaction at the center.

• 出版日期2010-2
• 单位湖南大学