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\[\large 2017x^3+2016x^2+2018x+2016=0\]

Let \(\alpha\) , \(\beta\) and \(\gamma\) be the roots of the equation above.

Find the value of :

...

Which of the following gives the correct lower bound \(B\) in the uncertainty relation for the operators \(\hat{x}\) and \(\hat{p}^2\)?

The relevant uncertainty relation is ...

Suppose \(\hat { H } { \hat { a } }_{ + }{ \psi }_{ n } = ({E}_{n}+h\omega) { \hat { a } }_{ + }{ \psi }_{ n }\), where ...

\[ 1 = \dfrac{(1-a) - \dfrac{(1-a)^2}{2} + \dfrac{(1-a)^3}{3} - \dfrac{(1-a)^4}{4} + ...}{(1-b) - \dfrac{(1-b)^2}{2} + \dfrac{(1-b)^3}{3} - \dfrac{(1-b)^4}{4} + ... } \]

where ...

Consider a circuit that consists of an ideal inductor of inductance \(L\), an ideal capacitor of capacitance \(C\) and a linear resistor of resistance \(R\) in series.

Let the capacitor ...

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