Quantum Mechanics (GATE Physics): Questions 15  19 of 35
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Question number: 15
» 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 .
Question number: 16
» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space
Appeared in Year: 2016
Question
If and are the components of the position and the momentum operators of a particle respectively, the commutator is –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Passage
The wave function of a particle moving in free space is given by,
Question number: 17 (1 of 2 Based on Passage) Show Passage
» Quantum Mechanics » Schrodinger Equation
Appeared in Year: 2012
Question
The energy of the particle is –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 18 (2 of 2 Based on Passage) Show Passage
» Quantum Mechanics » Postulates of Quantum Mechanics
Appeared in Year: 2012
Question
The probability current density for the real part of the wavefunction is –
Choices
Choice (4)  Response  

a. 
 
b.  0  
c.  1  
d. 

Question number: 19
» Quantum Mechanics » One, Two and ThreeDimensional Potential Problems
Appeared in Year: 2012
Question
A particle of mass is confined in a two dimensional square well potential of dimension . This potential is given by,
The energy of the first excited state for this particle is given by,
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
