Quantum Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 16  20 of 77
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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 » 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: 18 (2 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: 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. 


Question number: 20
» Quantum Mechanics » TimeIndependent Perturbation Theory
Appeared in Year: 2012
Question
Consider a system in the unperturbed state described by the Hamiltonian, . The system is subjected to a perturbation of the form where . The energy eigenvalues of the perturbed system using the first order perturbation approximation are –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

