Quantum Mechanics II & Atomic Physics (IFS (Forests Services) Physics (Mains)): Questions 1 - 2 of 2

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Question number: 1

» Quantum Mechanics II & Atomic Physics » Atomic Physics » Spectroscopic Notation of Atomic States

Appeared in Year: 2011

Essay Question▾

Describe in Detail

Obtain the term symbols for two singlet states and two triplet states for two electron atoms. (Paper-2) (Section-A)

Explanation

If we knowing the value of various types of angular momenta, term symbols gives three kinds of information,

Equation Total orbital angular momentum, L

Equation Multiplicity of the terms, Equation

Equation Total angular momentum, Equation

Vectors sum of angular momentum

Vectors Sum of Angular Momentum

In figure vectors sum of angular momentum is shown.

  • We… (171 more words) …

Question number: 2

» Quantum Mechanics II & Atomic Physics » Quantum Mechanics II » The Spin Half Problem and Properties of Pauli Spin Matrices

Appeared in Year: 2011

Essay Question▾

Describe in Detail

What are Pauli spin matrices?

Show that:

Equation

Where, Equation are Pauli spin matrices and Equation and Equation are vector operators which commute with Equation , but do not necessarily commute with each other?

Explanation

Pauli spin matrices or Pauli matrices are a set of Equation matrices, which are complex, Hermitian and unitary matrices. Pauli spin matrices defined as,

Equation

Equation

Equation

The Pauli vector is defined by,

Equation

From question another vector operators are Equation and Equation are given.

Now, mapping mechanism from a… (68 more words) …

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