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  1. pallab

    The number of states for N identical particles with energy between E and E+dE

    the answer is NE^0.5 but my answer is E^0.5N the # of state is Ω=( one particle phase-space volume)^N one particle phase-space volume=integration of dq*integration of dp from space part dq I get V and dp is converted into Energy E variable via E=p^2/2m
  2. pallab

    Multipole expansion for the case r'>>r and r>>r'

    for the case, r>>r' the higher-order term like 1/r^2 and above that is negligible. so V(r)=cons.*1/r*P0(cos a) but for the case r'>>r will it be V(r)=cons.*1/r'[ summation Pn(cos a')t'^n] where t'=r/r' now if we neglect higher-order term of r/r' then V(r)=cons.*1/r'*P0(cos a') which is...
  3. pallab

    A Pauli's spin matrices in higher order

    the question that can we express Pauli's 2x2 matrices for spin 1/2 in higher-order matrices, say 3x3, 4x4 arose in my mind.
  4. pallab

    A Pauli's spin matrices in higher order

    What are the rules to write Pauli's spin matrices in higher-order matrices (especially in 4x4 matrices)
  5. pallab

    I Dirac's gamma matrices

    what are Dirac's gamma matrices . especially , does it have many forms?
  6. pallab

    MATLAB Book for a the beginner

    please refer me a good book for the Matlab beginner.
  7. pallab

    Book recommendations for second quantization and Jellium model

    I have studied quantum mechanics but not the quantum field theory.
  8. pallab

    Book recommendations for second quantization and Jellium model

    please refer me a good book for the detail step by step study on the second quantization. and also where can I find the jellium model for the metal?
  9. pallab

    Good books on Group theory in High Energy physics

    please suggest me a good book on the high energy physics where group theory is discussed for the beginner.
  10. pallab

    Advanced condensed matter physics book

    many electrons theory with creation and annihilation operators.
  11. pallab

    Advanced condensed matter physics book

    what are the good books on advanced condensed matter physics with detail notation explained?
  12. pallab

    Quantum What is a good book for Hartree-Fock theory?

    where can I find the thoroughly discussed Hartree and Hartree-Fock method for many electrons system?
  13. pallab

    I Difference between δ and ∆ variation?

    what is the difference between δ- variation and ∆-variation in variational principle, used in classical mechanics?
  14. pallab

    I What is the velocity of light in uniformly rotating frame?

    v=2πR/T now for earth T=86400 sec. and R=4.2 light years i.e. (9.46*1015)*4.2 so,v=2.8*1012 m/s , >c
  15. pallab

    I What is the velocity of light in uniformly rotating frame?

    when the earth approaches toward the Proxima Centauri its speed is more than the speed ,when earth moves away from it,like the earth's movement around the sun.
  16. pallab

    I What is the velocity of light in uniformly rotating frame?

    NO. My friend asked me this question.but I don't know about GTR.I studied STR .According to postulate speed of light in vacuum is same in all inertial frames.But a frame with uniform angular velocity is not inertial frame and the speed of light which has same value not the velocity.
  17. pallab

    I What is the velocity of light in uniformly rotating frame?

    S'-frame of reference has uniform angular velocity with respect to the frame S. what is the velocity of light in S frame w.r.t S' ?
  18. pallab

    I The dielectric constant of water is 80, but refractive index

    No. Actually it is a exam question with 4 options, given below- (1) the water molecule has no permanent dipole moment (2) the boiling point of water is 100 °C (3) the two quantities arc measured by different experiments (4) water is transparent to visible light It seems that option (3) is...
  19. pallab

    Consider the potential field V(x, y) which is 0 and -Vo(Vo>0

    I have just used snell's law. θ∝v but I am not sure about increase or decrease of kinetic energy in the presence of potential +ve or -ve.
  20. pallab

    Consider the potential field V(x, y) which is 0 and -Vo(Vo>0

    I have just used snell's law. θ∝v but I am not sure about increase or decrease of kinetic energy in the presence of potential +ve or -ve.
  21. pallab

    Consider the potential field V(x, y) which is 0 and -Vo(Vo>0

    Homework Statement Consider the potential field V(x, y) which is 0 and -Vo (V0 > 0) respectively in the regions of y greater and less than zero . Let θ and θ' be the angles of incidence and refraction of the particle with the y-axis at the point of incidence as it crosses the x-axis . The ratio...
  22. pallab

    Correct option for n dependence of free energy f per unit

    Homework Statement The equation of state of an ideal gas is p = nkT, where p is the thermodynamic pressure and n = N / V is the thermodynamic variable for the number of particles per unit volume. The n dependence of the free energy f per unit volume of the ideal gas is obtained by the following...
  23. pallab

    A 300 MHz plane wave propagating through a non-conducting medium

    Homework Statement A 300 MHz plane wave propagating through a non-conducting medium having relative permeability= 1, relative permittivity= 78.What is the velocity of light in this medium? Homework Equations The Attempt at a Solution n=√(78) v=c/n =3*108/√78[/B]
  24. pallab

    I The dielectric constant of water is 80, but refractive index

    The dielectric constant of water is 80, however its refractive index is 1 ·33 invalidating the expression n*n=ε. why?
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