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Q32E

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Modern Physics
Found in: Page 188
Modern Physics

Modern Physics

Book edition 2nd Edition
Author(s) Randy Harris
Pages 633 pages
ISBN 9780805303087

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Short Answer

A finite potential energy function U(x) allows the solution of the time-independent Schrödinger equation. to penetrate the classically forbidden region. Without assuming any particular function for U(x) show that b(x) must have an inflection point at any value of x where it enters a classically forbidden region.

The answer of given problem is

See the step by step solution

Step by Step Solution

Step 1: Wave function

The wave function

Step 2:Total energy and potential energy

By definition, the inflection point is a point where the total energy is equal to zero. Total energy E is equal to potential energy Uo

Traditionally authorised and classically banned territories are separated by turning points. A turning point is a point at which the second derivative vanishes.

So, the answer is

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