The Motion of a Quantum Mechanical Particle Under the Inverse Square Potential |
| |
| Authors: | Shuji Watanabe |
| |
| Affiliation: | Department of Electronics and Information Engineering , Aichi University of Technology , 50-2 Manori, Nishihazama-cho, Gamagouri, 443-0047, Japan |
| |
| Abstract: | We consider the motion of a quantum mechanical particle under the inverse square potential k /(|x| 2 ), where k is a constant and x ] R N . Applying the method of the Friedrichs extension, we show that there exists the motion of such a particle as long as k > m N /4. Our treatment gives the best possible value of k when 1 h N h 4. |
| |
| Keywords: | Integral Transform A Generalized Fourier Transform Quantum Mechanics Selfadjointness Of The Hamiltonian Inverse Square Potential |
|
|
