More on the Asymmetric Infinite Square Well: Energy Eigenstates with Zero Curvature

Details More on the Asymmetric Infinite Square Well: Energy Eigenstates with Zero Curvature More on the Asymmetric Infinite Square Well: Energy Eigenstates with Zero Curvature

2005-12-19

arxiv.org/abs/quant-ph/0512156v1

Eur. J. Phys. 26, 815-825 (2005)

Physics

Quantum Physics

17 pages, 5 .eps figures

Scientific paper

We extend the standard treatment of the asymmetric infinite square well to include solutions that have zero curvature over part of the well. This type of solution, both within the specific context of the asymmetric infinite square well and within the broader context of bound states of arbitrary piecewise-constant potential energy functions, is not often discussed as part of quantum mechanics texts at any level. We begin by outlining the general mathematical condition in one-dimensional time-independent quantum mechanics for a bound-state wave function to have zero curvature over an extended region of space and still be a valid wave function. We then briefly review the standard asymmetric infinite square well solutions, focusing on zero-curvature solutions as represented by energy eigenstates in position and momentum space.

Affiliated with

Also associated with

No associations

Rating

More on the Asymmetric Infinite Square Well: Energy Eigenstates with Zero Curvature does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with More on the Asymmetric Infinite Square Well: Energy Eigenstates with Zero Curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and More on the Asymmetric Infinite Square Well: Energy Eigenstates with Zero Curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-281959