Mathematical Methods of Physics-Special Functions (CSIR Physical Sciences): Questions 1 - 3 of 3

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 389 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 250.00 or

Question number: 1

» Mathematical Methods of Physics » Special Functions » Hermite

Appeared in Year: 2013

MCQ▾

Question

If A, B and C are non-zero Hermitian operators, which of the following relation must be false? (December)

Choices

Choice (4) Response
a.

[A,B]=C

b.

ABA=C

c.

AB+BA=C

d.

A+B=C

Question number: 2

» Mathematical Methods of Physics » Special Functions » Laguerre

Appeared in Year: 2011

MCQ▾

Question

The generating function,

F(x,t)=n=0Pn(x)tn

For the Legendre polynomials Pn(x) is F(x,t)=(12xt+t2)12 . The value of P3(1) is – (December)

Choices

Choice (4) Response
a.

52

b.

1

c.

+1

d.

32

Question number: 3

» Mathematical Methods of Physics » Special Functions » Bessel

Appeared in Year: 2014

MCQ▾

Question

The function f(x)=n=0(1)nn!(n+1)!(x2)2n+1 Satisfies the differential equation – (December)

Choices

Choice (4) Response
a.

x2d2fdx2+2xdfdx+(x21)f=0

b.

x2d2fdx2+xdfdx+(x21)f=0

c.

x2d2fdx2+xdfdx+(x2+1)f=0

d.

x2d2fdx2xdfdx+(x21)f=0

Sign In