Consider a two state system with normalized energy eigen state ψ_{1} & ψ_{2} and energy E_{1} < E_{2} what is the possible range for the expectation value of on an orbitrary linear combination of two state
Suppose a wave function and an operator is given by is given by
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Consider the following StemGerlach apparatus incoming beam consist of electron 2/3 of them having spin and other 1/3 have spin in the zdirection
what fraction of the incident beam are detected in the up and down outputs of the apparatus
Consider a system whose initial state at r = 0 is given in term of a complete and orthonormal set of three vectors as follows the probability of find tlie system at tune t in state is _______ (upto two decunalplaces)
An election is confined in an infinite square well of width 10x10^15 m. Calculate the wavelength of the electron emitted when the proton undergoes a transition from the first excited state (n=2) to the ground state (n=1).
Consider a tliree dimensional harmonic oscillator with Hamiltonian
The number of distinct eigenstates with energy eigenvalue 5/2 ℏω is_________
(Answer should be an integer).
Consider an operator for a system of total angular momentum j = 1 then winch of the following state having non zero uncertainty
In the simple harmonic oscillator
what are the condition on m and m' for to be nonzero
Find the differential crosssection for die scattering of slow (low velocity) particle from a spherical delta poten tial V (r) = V_{0} δ (r  a)
For case of n = 2, ℓ = 1, m = 0 the value of r at which the radial probability density of the hydrogen atom reaches its maximum is ____ a_{0}. (answer should be an integer)
Consider a system winch is mtially in the state was measured with value ℏ, the probability is_______(upto one decimal place)
An electron is confined in the ground state of a one dimensional harmonic oscillator such that energy required to excite to its first excited state is _____ (MeV)
A particle of mass m coming in from the left with energy E > 0, encounters barrier potential
The wave function is given by
The constant A and B satisfy which one of the following relation?
Calculate the width of the probability density distribution for r(i.e Br) for hydrogen atom for the state
At t = o, a state is given by
Where are ortlionomial stationary states of energy E_{l} & E_{2} respectively with E_{2} > E_{l} what is the shortest tune T > 0 for w hich is orthogonal to
If the state of a particle moving in one dimensional harmonic oscillator is given by
Where represent the normalized n^{th} energy eigenstate find the expectation value of number operator
A particle of mass m moves in a one dimensional potential box
Consider the V_{0} part as perturbation, using first order perturbation method calculate the energy of ground state.
A spin state precesses in a magnetic field same way as the classical magnetic dipole precesses in magnetic field with lasmor frequency given by consider the Hamiltonian Larrnor frequency is (in tem is of ω_{0})
(answer should b e an mteger)
Consider a system of four noninteracting identical spin 1/2 particles that are in same state and confined to move in a onediniension infinite potential well of length a: V(x) = 0 for 0 < x < a and V(x) = ∞ forotlier values of x. The ground state energy of the system in units of is (answer should be an integers).
Consider a system whose intial state and hamiltonian are given by
find the total energy of a system
1 docs34 tests

1 docs34 tests
