Quantum Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 13  15 of 77
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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. 


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 .