A New Kind of Shift Operators for Infinite Circular and Spherical Wells

Table 1

Zeros of the Bessel functions 𝐽_𝑚(𝑥).

𝑛th zero	𝐽0(𝑥)	𝐽1(𝑥)	𝐽2(𝑥)	𝐽3(𝑥)	𝐽4(𝑥)	𝐽5(𝑥)
1	2.4048	3.8317	5.1356	6.3802	7.5883	8.7715
2	5.5201	7.0156	8.4172	9.7610	11.0647	12.3386
3	8.6537	10.1735	11.6198	13.0152	14.3725	15.7002
4	11.7915	13.3237	14.7960	16.2235	17.6160	18.9801
5	14.9309	16.4706	17.9598	19.4094	20.8269	22.2178