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unitary transformation sentence in Hindi

"unitary transformation" meaning in Hindiunitary transformation in a sentence
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  • With respect to such a unitary representation, a symplectomorphism in the classical theory would now deform to a ( metaplectic ) unitary transformation.
  • Unitary operators preserve inner products which means probabilities are also preserved, so the quantum mechanics of the system is invariant under unitary transformations.
  • Unlike the convention followed in this article, when the Fourier transform is defined this way, it is no longer a unitary transformation on.
  • Therefore, the concept of conformal transformations is itself transformed, and one arrives at the concept of a unitary transformation of a Hilbert space.
  • The "'Schrieffer Wolff transformation "'is a unitary transformation enabling one to obtain J . R . Schrieffer and P . A . Wolff.
  • Operators and state vectors in the interaction picture are related by a change of basis ( unitary transformation ) to those same operators and state vectors in the Schr�dinger picture.
  • In the above derivation, the unitary transformation that is the change of basis ( from the standard product basis into the Bell basis ) can be written using quantum gates.
  • Equations that apply in one picture do not necessarily hold in the others, because time-dependent unitary transformations relate operators in one picture to the analogous operators in the others.
  • A physical system is generally described by three basic ingredients : one-parameter group of unitary transformations on the Hilbert space of states, and physical symmetries are realized by unitary transformations.
  • A physical system is generally described by three basic ingredients : one-parameter group of unitary transformations on the Hilbert space of states, and physical symmetries are realized by unitary transformations.
  • Thus, once we settle on any unitary representation of the gammas, it is final provided we transform the spinor according to the unitary transformation that corresponds to the given Lorentz transformation.
  • The density matrix of a KMS state is related to unitary transformations involving time translations ( or time translations and an internal symmetry transformation for nonzero chemical potentials ) via the Tomita Takesaki theory.
  • If " T " is a non-negative operator on a finite-dimensional Hilbert space, then all square roots of " T " are related by unitary transformations.
  • Remark : Some intuition for the mean ergodic theorem can be developed by considering the case where complex numbers of unit length are regarded as unitary transformations on the complex plane ( by left multiplication ).
  • Therefore, any operator " O " in the Dirac-Pauli representation upon which we perform a bi-unitary transformation, will be given, for an " at rest " fermion, by:
  • To see why the \ tilde { \ Omega } terms are called ` counter-rotating'consider a unitary transformation to the interaction or Dirac picture where the transformed Hamiltonian H _ { 1, I } is given by
  • In mathematics, the "'Weil Brezin map "', named after Andr?Weil and Jonathan Brezin, is a unitary transformation that maps a Schwartz function on the real line to a smooth function on the Heisenberg manifold.
  • As one example, when an eigenproblem corresponding to some system ( whether quantum or classical ) has a physical symmetry ( e . g . it is rotationally invariant ), this means that the unitary transformation operator corresponding to the symmetry commutes with the eigenproblem.
  • The problem can be analyzed more easily by moving into the interaction picture, defined by the unitary transformation \ tilde { M } = UMU ^ \ dagger, where M is an arbitrary operator, and U = e ^ { i ( H _ S + H _ B ) t }.
  • This is a projection, in the sense that the Euclidean distance to the constraint is minimized, because ( i ) the discrete Fourier transform, as a unitary transformation, preserves distance, and ( ii ) rescaling the modulus ( without modifying the phase ) is the smallest change that realizes the modulus constraint.
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