Quantum Mechanics-Variational Method (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 7 - 9 of 10

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Question number: 7

» Quantum Mechanics » Variational Method

Appeared in Year: 2012

MCQ▾

Question

A variational calculation is done with the normalized trial wavefunction Equation for the one dimensional potential well Equation , the ground state energy is estimated to be, (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 8

» Quantum Mechanics » Variational Method

MCQ▾

Question

Let Equation and Equation denote the normalized eigenstate corresponding to the ground and first excited state of a one dimensional harmonic oscillator. The uncertainty Equation in the state Equation is:

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 9

» Quantum Mechanics » Variational Method

Appeared in Year: 2011

MCQ▾

Question

The wave function of the particle at time Equation is given by Equation , where Equation and Equation are the normalized eigen states with eigen values Equation and Equation respectively, Equation . The shortest time after which Equation will become orthogonal to Equation is – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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