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The Hermite polynomials Hn(x) are special functions that are extremely im- portant in quantum mechanics. The Hn(x) may be defined by: P(x, h) = exp(2rh – h²) = H,(x)h". n=0 Show that 2x + 2h 0. %3D and hence H" («) — 2 Н, (х) + 2nH, (2) — 0.

The Hermite polynomials Hn(x) are special functions that are extremely im- portant in quantum mechanics. The Hn(x) may be defined by: P(x, h) = exp(2rh – h²) = H,(x)h". n=0 Show that 2x + 2h 0. %3D and hence H" («) — 2 Н, (х) + 2nH, (2) — 0.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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The Hermite polynomials Hn(x) are special functions that are extremely im- portant in quantum mechanics. The Hn(x) may be defined by: P(x, h) = exp(2rh – h²) = H,(x)h". n=0 Show that 2x + 2h 0. %3D and hence H" («) — 2 Н, (х) + 2nH, (2) — 0.
Transcribed Image Text:The Hermite polynomials Hn(x) are special functions that are extremely im- portant in quantum mechanics. The Hn(x) may be defined by: P(x, h) = exp(2rh – h²) = H,(x)h". n=0 Show that 2x + 2h 0. %3D and hence H" («) — 2 Н, (х) + 2nH, (2) — 0.
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