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hasanhabibul
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what actually happens physically ...when we make transpose of a matrix...and in unitary transformation we transpose the matrix and take the conjugate...physically what type of change happens in it.
hasanhabibul said:what actually happens physically ...when we make transpose of a matrix...and in unitary transformation we transpose the matrix and take the conjugate...physically what type of change happens in it.
A unitary transformation is a mathematical operation that preserves the length of a vector in a vector space. In other words, it is a transformation that does not change the magnitude of a vector, only its direction.
The physical interpretation of unitary transformation is that it represents a change in basis or coordinate system. It allows us to describe the same physical system using different mathematical representations, without changing the underlying physical properties of the system.
Yes, unitary transformations can be applied to any physical system. They are a fundamental concept in quantum mechanics and are used to represent the evolution of quantum systems over time.
Unitary transformations are closely related to the conservation of probability in quantum mechanics. This is because unitary transformations preserve the inner product of quantum states, which is directly related to the probability of measuring a particular state in a quantum system.
Unitary transformations and Hermitian transformations are both types of linear operators in quantum mechanics. The main difference is that unitary transformations preserve the norm of a vector, while Hermitian transformations preserve the expectation values of observables in a quantum system.