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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?
- a)The two approaches did not start with the same mathematical formulations.
- b)These two points of view were destined to complement one another and were ultimately synthesized in Dirac’s transformation theory.
- c)A third mathematical formulation given by Feynman combines the matrix algebra of Heisenberg and Integral calculus of Leibniz.
- d)Quantum mechanics evolved in the twentieth century and came very close to particle physics, especially after the CERN experiments in Switzerland.
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
It is a curious historical fact that modern quantum mechanics began wi...
The passage says that modern quantum mechanics began with two different mathematical formulations which initially seemed dissimilar but later on proved to be mathematically equivalent. This idea is precisely captured in option 2 which says that they were destined to complement one another and were later synthesized into a single theory.
Eliminate options 1, 3, 4 and 5.
Hence, the correct answer is option 2.
Eliminate options 1, 3, 4 and 5.
Hence, the correct answer is option 2.
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It is a curious historical fact that modern quantum mechanics began wi...
Explanation:
Complementing and Synthesizing Different Approaches
- The paragraph highlights the initial divergence in the mathematical formulations of quantum mechanics through the Schroedinger equation and Heisenberg's matrix algebra.
- Despite their apparent differences, these approaches were later proven to be equivalent mathematically.
- This convergence of seemingly disparate methods paved the way for a deeper understanding of quantum mechanics.
Dirac's Transformation Theory
- Dirac's transformation theory played a crucial role in reconciling the Schroedinger equation and Heisenberg's matrix algebra.
- By synthesizing these two perspectives, Dirac was able to provide a more comprehensive framework for understanding quantum mechanics.
- This theory represented a significant advancement in the field and showcased the power of integrating different mathematical approaches.
Significance of Synthesis in Quantum Mechanics
- The synthesis of various mathematical formulations in quantum mechanics, as exemplified by Dirac's work, demonstrates the importance of collaboration and integration in scientific progress.
- By combining different viewpoints and methodologies, researchers can uncover new insights and deepen their understanding of complex phenomena.
- The evolution of quantum mechanics through the integration of diverse mathematical approaches underscores the dynamic and interdisciplinary nature of scientific inquiry.
Complementing and Synthesizing Different Approaches
- The paragraph highlights the initial divergence in the mathematical formulations of quantum mechanics through the Schroedinger equation and Heisenberg's matrix algebra.
- Despite their apparent differences, these approaches were later proven to be equivalent mathematically.
- This convergence of seemingly disparate methods paved the way for a deeper understanding of quantum mechanics.
Dirac's Transformation Theory
- Dirac's transformation theory played a crucial role in reconciling the Schroedinger equation and Heisenberg's matrix algebra.
- By synthesizing these two perspectives, Dirac was able to provide a more comprehensive framework for understanding quantum mechanics.
- This theory represented a significant advancement in the field and showcased the power of integrating different mathematical approaches.
Significance of Synthesis in Quantum Mechanics
- The synthesis of various mathematical formulations in quantum mechanics, as exemplified by Dirac's work, demonstrates the importance of collaboration and integration in scientific progress.
- By combining different viewpoints and methodologies, researchers can uncover new insights and deepen their understanding of complex phenomena.
- The evolution of quantum mechanics through the integration of diverse mathematical approaches underscores the dynamic and interdisciplinary nature of scientific inquiry.
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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?a)The two approaches did not start with the same mathematical formulations.b)These two points of view were destined to complement one another and were ultimately synthesized in Dirac’s transformation theory.c)A third mathematical formulation given by Feynman combines the matrix algebra of Heisenberg and Integral calculus of Leibniz.d)Quantum mechanics evolved in the twentieth century and came very close to particle physics, especially after the CERN experiments in Switzerland.Correct answer is option 'B'. Can you explain this answer?
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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?a)The two approaches did not start with the same mathematical formulations.b)These two points of view were destined to complement one another and were ultimately synthesized in Dirac’s transformation theory.c)A third mathematical formulation given by Feynman combines the matrix algebra of Heisenberg and Integral calculus of Leibniz.d)Quantum mechanics evolved in the twentieth century and came very close to particle physics, especially after the CERN experiments in Switzerland.Correct answer is option 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 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?a)The two approaches did not start with the same mathematical formulations.b)These two points of view were destined to complement one another and were ultimately synthesized in Dirac’s transformation theory.c)A third mathematical formulation given by Feynman combines the matrix algebra of Heisenberg and Integral calculus of Leibniz.d)Quantum mechanics evolved in the twentieth century and came very close to particle physics, especially after the CERN experiments in Switzerland.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?a)The two approaches did not start with the same mathematical formulations.b)These two points of view were destined to complement one another and were ultimately synthesized in Dirac’s transformation theory.c)A third mathematical formulation given by Feynman combines the matrix algebra of Heisenberg and Integral calculus of Leibniz.d)Quantum mechanics evolved in the twentieth century and came very close to particle physics, especially after the CERN experiments in Switzerland.Correct answer is option 'B'. Can you explain this answer?.
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?a)The two approaches did not start with the same mathematical formulations.b)These two points of view were destined to complement one another and were ultimately synthesized in Dirac’s transformation theory.c)A third mathematical formulation given by Feynman combines the matrix algebra of Heisenberg and Integral calculus of Leibniz.d)Quantum mechanics evolved in the twentieth century and came very close to particle physics, especially after the CERN experiments in Switzerland.Correct answer is option 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 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?a)The two approaches did not start with the same mathematical formulations.b)These two points of view were destined to complement one another and were ultimately synthesized in Dirac’s transformation theory.c)A third mathematical formulation given by Feynman combines the matrix algebra of Heisenberg and Integral calculus of Leibniz.d)Quantum mechanics evolved in the twentieth century and came very close to particle physics, especially after the CERN experiments in Switzerland.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?a)The two approaches did not start with the same mathematical formulations.b)These two points of view were destined to complement one another and were ultimately synthesized in Dirac’s transformation theory.c)A third mathematical formulation given by Feynman combines the matrix algebra of Heisenberg and Integral calculus of Leibniz.d)Quantum mechanics evolved in the twentieth century and came very close to particle physics, especially after the CERN experiments in Switzerland.Correct answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice 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?a)The two approaches did not start with the same mathematical formulations.b)These two points of view were destined to complement one another and were ultimately synthesized in Dirac’s transformation theory.c)A third mathematical formulation given by Feynman combines the matrix algebra of Heisenberg and Integral calculus of Leibniz.d)Quantum mechanics evolved in the twentieth century and came very close to particle physics, especially after the CERN experiments in Switzerland.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice GMAT tests.
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