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Bound States in 3 Dimensions

Bound States in 3 Dimensions. From 1-d to 3-d. 3-d Hamiltonian. z. q. r. y. f. x. Bass-Ackwards. For a particle of mass, m,. Continuing. Only on w and f. Only on r. Appropriate Choice of Separation Constant. 1-d Sch. Eq. Called centrifugal potential. Radial Solution.

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Ch 5.4: Regular Singular Points

Ch 5.4: Regular Singular Points. Recall that the point x 0 is an ordinary point of the equation if p ( x ) = Q ( x )/ P ( x ) and q ( x )= R ( x )/ P ( x ) are analytic at at x 0 . Otherwise x 0 is a singular point .

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Ch 5.3: Series Solutions Near an Ordinary Point, Part II

Ch 5.3: Series Solutions Near an Ordinary Point, Part II. A function p is analytic at x 0 if it has a Taylor series expansion that converges to p in some interval about x 0 The point x 0 is an ordinary point of the equation

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Legendre equation - PowerPoint PPT Presentation

Bound States in 3 Dimensions

Ch 5.4: Regular Singular Points

Ch 5.3: Series Solutions Near an Ordinary Point, Part II