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Quantum Engineering Year 1: Quantum Mechanics Core Month 14Day 388

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Year 1·Month 14·Week 4

Day 388: Tunneling Probability & WKB Approximation

Day 388 of 2,016~17 min read

Learning Objectives

•**Derive** the WKB approximation for slowly varying potentials
•**Calculate** tunneling probabilities using the WKB formula
•**Apply** connection formulas at classical turning points
•**Understand** the Gamow factor and its physical interpretation
•**Relate** tunneling probability to decay rates and lifetimes
•**Compare** WKB predictions with exact results for test cases

Today's Schedule (7 hours)

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On this page

1 Motivation Beyond Rectangular Barriers 2 The WKB Approximation 3 Validity Condition 4 Classical Turning Points 5 Connection Formulas 6 WKB Tunneling Formula 7 Pre-exponential Factor 8 Tunneling Rate and Decay 9 Example Triangular Barrier 10 Quantum Computing Connection

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