Table 1 Bound state energy eigenvalues (eV) of the HHP at different values of quantum states, topological defect and fractional parameter, with \(\delta = 0.025\).
n | l | \(\beta = 0.35\) | \(\beta = 0.65\) | \(\beta = 0.85\) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\sigma =0.20\) | \(\sigma =0.50\) | \(\sigma =0.70\) | \({\sigma =1.00}\) | \(\sigma =0.20\) | \(\sigma =0.50\) | \(\sigma =0.70\) | \({\sigma =1.00}\) | \(\sigma =0.20\) | \(\sigma =0.50\) | \(\sigma =0.70\) | \({\sigma =1.00}\) | ||
0 | 0 | -127.2317 | -20.3466 | -10.3748 | -5.0773 | -52.4360 | -8.3793 | -4.2691 | -2.0856 | -47.5107 | -7.5913 | -3.8670 | -1.8886 |
1 | 0 | -31.7812 | -5.0600 | -2.5672 | -1.2431 | -13.0946 | -2.0806 | -1.0533 | -0.5078 | -11.8667 | -1.8870 | -0.9561 | -0.4619 |
1 | -0.8207 | -0.5740 | -0.4634 | -0.3455 | -0.7151 | -0.4303 | -0.3217 | -0.2187 | -0.7019 | -0.4147 | -0.3075 | -0.2074 | |
2 | 0 | -14.1026 | -2.2268 | -1.1192 | -0.5314 | -5.8085 | -0.9137 | -0.4575 | -0.2160 | -5.2657 | -0.8306 | -0.4173 | -0.1984 |
1 | -0.6981 | -0.4112 | -0.3044 | -0.2041 | -0.5674 | -0.2775 | -0.1891 | -0.1160 | -0.5522 | -0.2649 | -0.1795 | -0.1099 | |
2 | -0.2486 | -0.1735 | -0.1394 | -0.1028 | -0.2170 | -0.1307 | -0.0975 | -0.0662 | -0.2132 | -0.1264 | -0.0939 | -0.0635 | |
3 | 0 | -7.9143 | -1.2346 | -0.6121 | -0.2827 | -3.2581 | -0.5054 | -0.2494 | -0.1149 | -2.9553 | -0.4611 | -0.2291 | -0.1072 |
1 | -0.6002 | -0.3065 | -0.2117 | -0.1305 | -0.4603 | -0.1918 | -0.1222 | -0.0699 | -0.4451 | -0.1822 | -0.1160 | -0.0669 | |
2 | -0.2250 | -0.1398 | -0.1053 | -0.0715 | -0.1880 | -0.0982 | -0.0685 | -0.0434 | -0.1837 | -0.0945 | -0.0659 | -0.0420 | |
3 | -0.1038 | -0.0705 | -0.0555 | -0.0398 | -0.0901 | -0.0526 | -0.0387 | -0.0264 | -0.0884 | -0.0510 | -0.0375 | -0.0258 | |
4 | 0 | -5.0496 | -0.7753 | -0.3777 | -0.1685 | -2.0776 | -0.3166 | -0.1537 | -0.0695 | -1.8860 | -0.2903 | -0.1426 | -0.0662 |
1 | -0.5209 | -0.2352 | -0.1532 | -0.0878 | -0.3802 | -0.1391 | -0.0842 | -0.0464 | -0.3657 | -0.1321 | -0.0803 | -0.0450 | |
2 | -0.2044 | -0.1141 | -0.0812 | -0.0514 | -0.1641 | -0.0758 | -0.0503 | -0.0311 | -0.1597 | -0.0729 | -0.0486 | -0.0305 | |
3 | -0.0962 | -0.0594 | -0.0444 | -0.0300 | -0.0807 | -0.0421 | -0.0297 | -0.0205 | -0.0790 | -0.0408 | -0.0290 | -0.0203 | |
4 | -0.0457 | -0.0295 | -0.0226 | -0.0161 | -0.0391 | -0.0217 | -0.0161 | -0.0127 | -0.0384 | -0.0211 | -0.0158 | -0.0127 | |
