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a. The linear momentum operator is hermitian the operator d 2 /dx 2 is hermitian b. 1) Show that EECE300 – Homework 2 Homework 2 September-08-11 10:38 AM 2011W_T1_EECE300 Page 1

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Page 1: Homework 2 - University of British Columbiacourses.ece.ubc.ca/300/handouts/EECE300_2011W_T1_HW2... · 2011. 10. 26. · Homework 2 September-08-11 10:38 AM 2011W_T1_EECE300 Page 1

a. The linear momentum operator is hermitianthe operator d2/dx2 is hermitian b.

1) Show that EECE300 – Homework 2

Homework 2September-08-1110:38 AM

2011W_T1_EECE300 Page 1

Page 2: Homework 2 - University of British Columbiacourses.ece.ubc.ca/300/handouts/EECE300_2011W_T1_HW2... · 2011. 10. 26. · Homework 2 September-08-11 10:38 AM 2011W_T1_EECE300 Page 1

2) Calculate the number of photons emitted by a 100 W yellow lamp in 1.0 s. Take the wavelength of yellow light as 560 nm and assume 100 per cent efficiency.

3) A. Estimate de Broglie wavelength of electrons that have been accelerated from rest through a potential difference of 40kV. It is know that the electron mass is and its charge.

B. Calculate the de Broglie wavelength of a tennis ball of mass 57g moving at 80km/h

2011W_T1_EECE300 Page 2

Page 3: Homework 2 - University of British Columbiacourses.ece.ubc.ca/300/handouts/EECE300_2011W_T1_HW2... · 2011. 10. 26. · Homework 2 September-08-11 10:38 AM 2011W_T1_EECE300 Page 1

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Page 4: Homework 2 - University of British Columbiacourses.ece.ubc.ca/300/handouts/EECE300_2011W_T1_HW2... · 2011. 10. 26. · Homework 2 September-08-11 10:38 AM 2011W_T1_EECE300 Page 1

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Page 5: Homework 2 - University of British Columbiacourses.ece.ubc.ca/300/handouts/EECE300_2011W_T1_HW2... · 2011. 10. 26. · Homework 2 September-08-11 10:38 AM 2011W_T1_EECE300 Page 1

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Page 6: Homework 2 - University of British Columbiacourses.ece.ubc.ca/300/handouts/EECE300_2011W_T1_HW2... · 2011. 10. 26. · Homework 2 September-08-11 10:38 AM 2011W_T1_EECE300 Page 1

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