Quantum Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 10  14 of 80
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Question number: 10
» Quantum Mechanics » Postulates of Quantum Mechanics
Appeared in Year: 2015
Write in Short
Consider a system of eight non – interacting, identical quantum particle of spin in a one dimensional box of length L. The minimum excitation energy of the system, in units of is ________
Question number: 11
» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space
Appeared in Year: 2016
Question
Which of the following operators is Hermitian?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 12
» 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: 13
» 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: 14
» Quantum Mechanics » One, Two and ThreeDimensional Potential Problems
Appeared in Year: 2014
Question
The ground state and the first excited state wave function of a one dimensional infinite potential well are and , respectively. When two spin – up electrons are placed in this potential, which one of the following with and denoting the position of the two electrons, correctly represents the space part of the ground state wave function of the system?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

