ABC26PH1308 · Which of the following statements on ground state perturbation theory, involving the zeroth order energy E0(0), first order energy… · JUNE 2016self-practice
ABC26PH0180 · Consider a particle on a ring that is perturbed by interacting with an applied electric field (E) with the perturbation being H'= mu E phi… · 2020self-practice
Postulates Operators
ABC26PH1202 · A constant of motion is defined by the equation: · JUNE 2011self-practice
ABC26PH0129 · The hermitian conjugate of operator d / d x, called (d / d x), is actually equal to · JUNE 2011
ABC26PH0132 · An operator A is defined as A=-d/d x+x. Which one of the following statements is true? · JUNE 2011
ABC26PH1207 · An operator A is defined as A=-d / dx+x. Which one of the following statements is true? · JUNE 2011self-practice
ABC26PH0133 · Identify which of the following operators is not hermitian? · 2011
ABC26PH1210 · Identify which of the following operators is not hermitian? · DEC 2011self-practice
ABC26PH0781 · If is the eigenfunction to the Hamiltonian operator with alpha as the eigenvalue, then alpha MUST be · 2001-2022self-practice
ABC26PH1212 · For the eigen states of the hydrogen atom, which of the following relations between the expectation value of kinetic energy (T) and… · DEC 2011self-practice
ABC26PH1216 · For any operator A and its adjoint A, the INCORRECT statement is: · JUNE 2012self-practice
ABC26PH0138 · If A and B are non-commuting hermitian operators, all eigenvalues of the operator given by the commutator [A, B] are · 2012
ABC26PH1224 · If A and B are non-commuting Hermitian operators, all eigenvalues of the operator given by the commutator [A, B] are · DEC 2012self-practice
ABC26PH0139 · The value of commutator [x, px2 ] is given by · 2012self-practice
ABC26PH1225 · The value of commutator [x, px2 ] is given by · DEC 2012self-practice
ABC26PH0795 · The potential for a particle in a one-dimensional box is given as: V(x)=0 for 0 x L, and V(x)= elsewhere. The locations of the internal… · 2001-2022self-practice
ABC26PH1237 · The operator [x, [x, p2 ] ] is identical with · JUNE 2013self-practice
ABC26PH1243 · The quantum mechanical virial theorem for a general potential V(x, y, z) is given by ( v)/( x)+y ( v)/( y)+z ( v)/( z) where T is the… · DEC 2013self-practice
ABC26PH0151 · The commutator of the kinetic energy operator, Tx and the momentum operator, px for the one-dimensional case is · 2014
ABC26PH1248 · The commutator of the kinetic energy operator, Tx and the momentum operator, px for the one dimensional case is · JUNE 2014self-practice
ABC26PH1250 · A particle in a one-dimensional box (potential zero between to a and infinite outside) has the ground state energy E0=0.125 h2m a2. The… · JUNE 2014self-practice
ABC26PH1251 · The ground state energy of hydrogen atom is -13.598 eV . The expectation values of kinetic energy, <T> and potential energy, <V>, in units… · JUNE 2014self-practice
ABC26PH1269 · The value of the commutator [x, [x, px ] ] is · JUNE 2014self-practice
ABC26PH0162 · Two different non-zero operators A and B(A B) satisfy the relation (A+B)(A-B)= A2-B2 · 2015
ABC26PH1271 · Two different non-zero operators A and B(A B) satisfy the relation (A+B)(A-B)=A2-B2 · JUNE 2014self-practice
ABC26PH1277 · The eigenfunctions of the Hamiltonian H(H=T+V) of a harmonic oscillator are (where T and V are kinetic energy and potential energy… · JUNE 2016
ABC26PH0165 · For a hermitian operator A, which does NOT commute with the Hamiltonian H, let 1 be an eigenfunction of A and 2 be an eigenfunction of H… · 2016
ABC26PH1281 · For a hermitian operator A, which does NOT commute with the Hamiltonian H, let 1 be an eigenfunction of A and 2 be an eigenfunction of H… · JUNE 2016self-practice
ABC26PH1287 · If we write a normalized wave function =A, then phi is also normalized when · JUNE 2016self-practice
ABC26PH1291 · Which of the functions below is a common eigenfunction of d/dx and d2dx2 operators? · JUNE 2016self-practice
ABC26PH0168 · If [A, B]=0 and [A, C]=0, then which of the following necessarily holds: [A, B and C are operators] · 2017
ABC26PH1296 · If [A, B]=0 and [A, C]=0, then which of the following necessarily holds: [A, B and C are operators ] · JUNE 2016self-practice
ABC26PH1297 · The correct statement among the following is ( A is a hermitian operator) · JUNE 2016self-practice
ABC26PH0173 · A particle is in a state phi =1+3 2 where 1 and 2 are eigenfunctions of the Hamiltonian of the particle with eigenvalues E1 and E2… · 2018
ABC26PH1307 · A particle is in a state phi =1+3 2 where 1 and 2 are eigenfunctions of the Hamiltonian of the particle with eigenvalues E1 and E2… · JUNE 2016self-practice
ABC26PH0174 · The commutator of x with the Hamiltonian H,[x, H] is · 2018
ABC26PH1309 · The commutator of x with the Hamiltonian H .[x, H] is · JUNE 2016self-practice
ABC26PH1319 · The function, which is NOT an eigenfunction of the indicated operator, is · JUNE 2016self-practice
ABC26PH0179 · The expectation value of p2 of a particle in a cubic box of side I, having the wave function _nx, ny, nz(x, y, z)= (2/l )3/2 (2 pi x)/l (2… · 2020
ABC26PH0182 · Let the Hamiltonian H, in one-dimension, be H=px22 m+V(x). The commutator of H with x , [H, x], is Options: · 2020
Quantum Chemistry – General
ABC26PH0128 · A constant of motion is defined by the equation: · JUNE 2011
ABC26PH1203 · The Hermitian conjugate of operator d / dx, called (d / dx), is actually equal to · JUNE 2016self-practice
ABC26PH0774 · The normalisation constant 'A' for the wavefunction ( phi )=Ae(im phi ) where 0 phi 2 pi is: · 2001-2022
ABC26PH0130 · The energy levels for cyclobutadiene are alpha +2 beta , alpha , alpha and alpha -2 beta . The delocalization energy in this molecule is: · JUNE 2011self-practice
ABC26PH0775 · Deduce whether the matrices A and B commute or not. A= (arrayll 2 & 1 \\ 0 & 1 array ) B= (arrayll 1 & 1 \\ 0 & 1 array ) · 2001-2022self-practice
ABC26PH1205 · The energy levels for cyclobutadiene are alpha +2 beta , alpha , alpha and alpha -2 beta . The delocalization energy in this molecule is: · JUNE 2011self-practice
ABC26PH0131 · For a certain particle encountering a barrier, the tunneling probability is approximately e-10. If the mass is halved and width of the… · JUNE 2011
ABC26PH1206 · For a certain particle encountering a barrier, the tunneling probability is approximately e-10. If the mass is halved and width of the… · JUNE 2011self-practice
ABC26PH0779 · Find the eigenvalues of the following 3 3 matrix given that 2 is one of the eigen values. Compute the determinant of matrix using the eigen… · 2001-2022self-practice
ABC26PH0780 · Which of the following is NOT a solution of the equation d2 xdt2+ omega 2 x=0 · 2001-2022