a. ) Show that . Solution: To obtain a solution to the equation derived in Problem (2), we assume a power series solution of the form: . Then and Substituting this to the equation solved in (2), we have Since is linearly independent from all the rest, then each coefficient is equal to zero. […]

## Archive for May, 2019

### Angular Momentum Solution (Hydrogen Atom)

Monday, May 27th, 2019Posted in Quantum Science Philippines **|** No Comments »

### Solution of Radial Function (Hydrogen Atom)

Monday, May 27th, 2019Derive . Solution: To solve the equation derived from problem (1), we look at the asymptotic behavior. First, let us assume a series of solution. But we must take into account as our . A solution of the form: and But can be discarded since if , it blows up. Then, in general, the solution […]

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### Orbital Angular Momentum Operator Lz in Spherical Coordinates

Monday, May 27th, 2019by Alvin P. Aballe, MSU-IIT Orbital angular momentum, including the total and spin angular momentum, plays a significant part in both classical and quantum mechanics. In classical mechanics, this is one of the conserve quantities alongside energy and linear momentum. With this, one can easily deal systems undergoing rotations. With that in mind, this will […]

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### Orbital Angular Momentum Operator Ly in Spherical Coordinates

Monday, May 27th, 2019by Alvin P. Aballe, MSU-IIT Orbital angular momentum, including the total and spin angular momentum, plays a significant part in both classical and quantum mechanics. In classical mechanics, this is one of the conserve quantities alongside energy and linear momentum. With this, one can easily deal systems undergoing rotations. With that in mind, this will […]

Posted in Quantum Science Philippines **|** No Comments »

### Orbital Angular Momentum Operator Lx in Spherical Coordinates

Monday, May 27th, 2019by Alvin P. Aballe, MSU-IIT Orbital angular momentum, including the total and spin angular momentum, plays a significant part in both classical and quantum mechanics. In classical mechanics, this is one of the conserve quantities alongside energy and linear momentum. With this, one can easily deal systems undergoing rotations. With that in mind, this will […]

Posted in Quantum Science Philippines **|** No Comments »