Quantum MechanicsAngular Momentum and Spin (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1  4 of 18
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Question number: 1
» Quantum Mechanics » Angular Momentum and Spin
Appeared in Year: 2014
Write in Short
A hydrogen atom is in the state
Where in denote the principal, orbital and magnetic quantum numbers, respectively. If is the angular momentum operator, the average value of is________.
Question number: 2
» Quantum Mechanics » Angular Momentum and Spin
Appeared in Year: 2015
Question
Let L and p be the angular and linear momentum operates, respectively for a particle. The commutator gives –
Choices
Choice (4)  Response  

a. 


b.  0 

c. 


d. 


Question number: 3
» Quantum Mechanics » Angular Momentum and Spin
Appeared in Year: 2015
Write in Short
Let the Hamiltonian for two spin particles of equal masses , momenta and and position and be
where and denote the corresponding Pauli matrices, and . If the ground state has net spin zero, then the energy (in ) is ________.
Question number: 4
» Quantum Mechanics » Angular Momentum and Spin
Appeared in Year: 2014
Write in Short
and are two orthogonal states of a spin system. It is given that
Where and represent the spin – up and spin – down states, respectively. When the system is in the state , its probability to be in the spin – up state is .