E-learning and the science of instruction : proven by Ruth Colvin Clark; Richard E Mayer

By Ruth Colvin Clark; Richard E Mayer

Show description

Read Online or Download E-learning and the science of instruction : proven guidelines for consumers and designers of multimedia learning, third edition PDF

Best science books

New Theories of Everything: The Quest For Ultimate Explanation

Do we ever find a unmarried medical thought that tells us every little thing that has occurred, and every little thing that may ensue, on each point within the Universe? the hunt for the speculation of every thing - a unmarried key that unlocks the entire secrets and techniques of the Universe - is not any longer a pipe-dream, however the concentration of a few of our most enjoyable examine concerning the constitution of the cosmos.

Passions and Tempers: A History of the Humours

Physicians in old Greece believed 4 humours flowed in the human body—blood, phlegm, black bile, and choler—determining a person's healthiness, temper, and personality. no longer till the 17th century could a extra advanced view of the anatomy start to emerge. yet via then humoural conception had already turn into deeply ingrained in Western language and thought—and endures to today in fantastic methods.

Science Education for Diversity: Theory and Practice

Reflecting the very most recent idea on range concerns in technology schooling, together with new dialogic methods, this quantity explores the topic from a number views and attracts on stories from worldwide. The paintings discusses primary issues reminiscent of how we conceptualize range in addition to analyzing the ways that heterogeneous cultural constructs effect the educating and studying of technology in a variety of contexts.

Extra info for E-learning and the science of instruction : proven guidelines for consumers and designers of multimedia learning, third edition

Example text

55) = 0, ∓ ˆ that follow similarly. It is worth noting that the d-operators obey the same (anti)commutation relations as the field operators with the index n playing the role of x. This is a very important observation since the results of the previous section relied only on the (anti)commutation relations of ψˆ and ψˆ† , and hence remain valid in this more general basis. To convince the reader of this fact we derive some of the results of the previous section directly from the (anti)commutation relations.

The (N − 1)-particle density matrix can be obtained by integrating out one coordinate. Setting yN = xN we have dxN ΓN (y1 , . . , yN −1 , xN ; x1 , . . , xN ) = Ψ|ψˆ† (x1 ) . . ψˆ† (xN −1 ) ˆ N ) ψ(y ˆ 1 )|Ψ ˆ N −1 ) . . ψ(y dxN ψˆ† (xN )ψ(x ˆ N ˆ† ˆ† ˆ N −1 ) . . ψ(y ˆ 1 )|Ψ = Ψ|ψ (x1 ) . . ψ (xN −1 )ψ(y = ΓN −1 (y1 , . . , yN −1 ; x1 , . . , xN −1 ), ˆ acts on a one-particle state. We can continue where we use the fact that the operator N this procedure and integrate out coordinate yN −1 = xN −1 .

8. 91). 92) j = x, y, z, σσ ′ with σx = 0 1 1 0 , σy = 0 −i i 0 σz = , 1 0 0 −1 the Pauli matrices. 7 7 The Levi–Civita tensor is zero if at least two indices are equal and otherwise εP (1)P (2)P (3) = (−)P , where P is an arbitrary permutation of the indices 1, 2, 3. 7. 7 35 Density matrices and quantum averages We have already stressed several times that if we know the ket |Ψ , which means if we know the wavefunction Ψ(x1 , . . , xN ) = x1 . . xN |Ψ , then we can use the (anti)commutation ˆ ˆ is an rules of the field operators to calculate any quantum average Ψ|O|Ψ , where O operator in second quantization.

Download PDF sample

Rated 4.86 of 5 – based on 19 votes