Quantum Mechanics-Spin-Statistics Connection (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 10 - 12 of 12

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Passage

In a system consisting of two spin Equation particles labeled 1 and 2, let Equation and Equation denote the corresponding spin operators. Here, Equation and Equation are the three Pauli matrices. (June)

Question number: 10 (1 of 2 Based on Passage) Show Passage

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2011

MCQ▾

Question

These two operators satisfy the relation,

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 11 (2 of 2 Based on Passage) Show Passage

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2011

MCQ▾

Question

In the standard basis the matrices for the operators Equation and Equation respectively,

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 12

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2016

MCQ▾

Question

The Equation identity matrix Equation and Pauli matrices Equation do not form a group under matrix multiplication. The minimum number of Equation matrices, which includes these four matrices, and form a group (under matrix multiplication) is: (December)

Choices

Choice (4) Response

a.

20

b.

8

c.

16

d.

12

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