Question 7

It is a curious historical fact that modern quantum mechanics began with two quite different mathematical formulations: the different equation of Schroedinger , and the matrix algebra of Heisenberg. The two, apparently dissimilar, approaches were proved to be mathematically equivalent.
Which of the following sentences would most meaningfully follow the above paragraph?

Solution

The paragraph mentions how modern quantum mechanics began with two different mathematical equations, namely Schroedinger's and Heisenberg's, and were eventually proved mathematically equivalent.

Thus, the next sentence must follow this train of thought and mention that these two concepts are equivalent.

Option A: It is already mentioned in the paragraph and won't be repeated.

Option B: It mentions how the two approaches complemented each other and were synthesised in Dirac's theory. Hence, it is the correct option.

Option C: It says how Feynman's formulations combine Heisenberg's and Leibniz's research and do not mention Schroedinger. Hence, this is eliminated.

Option D: It talks about things that are outside the scope of the paragraph.

Option E: This is untrue as per the paragraph.

Hence, the answer is option B.


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