In this paper, we have considered the generalized bi-axially symmetric SchrSdinger equation ■2φ/■x2 ＋ ■2φ/■y2＋2v/x ■φ/■x＋2μ/y ■φ/■y＋{K2-V（r）}φ=0 ,where μ, v ≥ 0, and rV（r） is an entire function...In this paper, we have considered the generalized bi-axially symmetric SchrSdinger equation ■2φ/■x2 ＋ ■2φ/■y2＋2v/x ■φ/■x＋2μ/y ■φ/■y＋{K2-V（r）}φ=0 ,where μ, v ≥ 0, and rV（r） is an entire function of r=＋（s2＋y2）1/2 corresponding to a scattering potential V（r）. Growth paramet ers of entire function solutions in terms of their expansion coefficients, which are analogous to the formulas for order and type occurring in classical function theory, have been obtained. Our results are applicable for the scattering of particles in quantum mechanics.展开更多
文摘In this paper, we have considered the generalized bi-axially symmetric SchrSdinger equation ■2φ/■x2 ＋ ■2φ/■y2＋2v/x ■φ/■x＋2μ/y ■φ/■y＋{K2-V（r）}φ=0 ,where μ, v ≥ 0, and rV（r） is an entire function of r=＋（s2＋y2）1/2 corresponding to a scattering potential V（r）. Growth paramet ers of entire function solutions in terms of their expansion coefficients, which are analogous to the formulas for order and type occurring in classical function theory, have been obtained. Our results are applicable for the scattering of particles in quantum mechanics.
