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Quantum Mechanics By B K Agarwal Hari Prakash
Category: Prentice Hall
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Quantum Mechanics: An Elementary Text by Agarwal/Hari Prakash
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Ebook – Quantum Mechanics: A Gentle Introduction by Nitin Bose Paul Deutsch For the first time from one of the world’s pre-eminent experts in quantum quantum physics and associated phenomena, this new gentle introduction to the bizarre and counterintuitive world of quantum mechanics is for readers who would like to understand but are not sure where to start. This full-colour eBook contains a blend of mathematical techniques and applications to show students how ideas in physics relate to everyday events.
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References
B.K. Agarwal and H. Prakash. (2005) “Quantum Mechanics: Fundamentals and Applications”, PHI Learning Pvt. Ltd, New Delhi, India.
B.K. Agarwal and H. Prakash. “Quantum Mechanics: B.K. Agarwal and Hari Prakash”, PHI Learning Pvt. Ltd., New Delhi, India, ISBN: 978-81-8304-023-4.
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Category:2005 books
Category:Quantum mechanicsQ:
Solve $x^3 + y^3 + z^3 = 60$ on rational points
The equation $$x^3 + y^3 + z^3 = 60$$ has rational solutions only for $1$ and $-1$.
Solve $x^3 + y^3 + z^3 = 60$ on rational points
So, taking into account all the divisors of $60$, we get:
$x^3 + y^3 + z^3 = 60 \in \{1,-1,2,3,4,5,6,10,15,20,30\}$
Solving $2, 3, 4, 5,6,10$ gives $x^3+y^3+z^3 = 1,2,10,15,20,30$ for which the equation is obviously false.
But what about the other divisors?
A:
Hint:
$$\frac{60}{2} = 30\Rightarrow x=\pm 3, y=\pm 3, z=\pm 3.$$
Now you just need to find the points on the unit sphere that fulfills this set of solutions.
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