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2) Prove that: a) dx' dx- b) F) = dF %3D Ldx dx c) [x,p²]= 2h?d/dx

2) Prove that: a) dx' dx- b) F) = dF %3D Ldx dx c) [x,p²]= 2h?d/dx

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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2) Prove that: d2 a) 9-0 dx' dx b) F») = = F(3 dx c) [x.p²]= 2h²d/dx d) [x, [x, H]]= 2h²/m Hint: find first [x, H] alone then find [x, [x, H]] 3) Show that the following operators are Hermitian. a) Momentum operator b) Hamiltonian operator c) id/dx d) d²/dx²
Transcribed Image Text:2) Prove that: d2 a) 9-0 dx' dx b) F») = = F(3 dx c) [x.p²]= 2h²d/dx d) [x, [x, H]]= 2h²/m Hint: find first [x, H] alone then find [x, [x, H]] 3) Show that the following operators are Hermitian. a) Momentum operator b) Hamiltonian operator c) id/dx d) d²/dx²
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