A new way of finding locations of zeros of wave functions
A new analytic method is presented for evaluating zeros of wave functions. In this method, locating the zeros of wave functions of the Schrodinger equation is converted to finding the roots of a polynomials. The coefficient of this polynomial can be evaluated analytically for a class of potentials. The speciality of this method is that the zeros are located without solving an equation of motion for the wave function. The method is valid for both real and complex systems and can be applied for locating both real and complex zeros. Examples are given to illustrate the method. PACS Nos.: 02.30.Mv, 03.65.Ge, 03.65.Sq, 03.65.w, 04.20.Jb, 04.20.Ha, 05.45.Mt
2016 ◽
Vol 31
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pp. 1650017
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1996 ◽
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pp. 257-266
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1999 ◽
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pp. 607-619
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pp. 565-583
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