Yes, it is true that the momentum operator is Hermitian.
That is correct. Momentum is defined as the product of an object's mass and its velocity, not the mass divided by the velocity. The equation for momentum is p = mv, where p is momentum, m is mass, and v is velocity.
True. When an object speeds up, its velocity increases, and therefore its momentum also increases. Momentum is the product of an object's mass and its velocity, so an increase in velocity results in an increase in momentum.
True. Angular momentum is a measure of how fast something is rotating. By increasing the angular momentum, you can increase the rate at which an object spins.
False. Not all objects have momentum. Momentum is a property of moving objects and is defined as the product of an object's mass and velocity. Objects at rest do not have momentum.
False. Momentum is a vector quantity because it has both magnitude and direction.
The hamiltonian operator is the observable corresponding to the total energy of the system. As with all observables it is given by a hermitian or self adjoint operator. This is true whether the hamiltonian is limited to momentum or contains potential.
Absolutely not. They are rather quite different: hermitian matrices usually change the norm of vector while unitary ones do not (you can convince yourself by taking the spectral decomposition: eigenvalues of unitary operators are phase factors while an hermitian matrix has real numbers as eigenvalues so they modify the norm of vectors). So unitary matrices are good "maps" whiule hermitian ones are not. If you think about it a little bit you will be able to demonstrate the following: for every Hilbert space except C^2 a unitary matrix cannot be hermitian and vice versa. For the particular case H=C^2 this is not true (e.g. Pauli matrices are hermitian and unitary).
That is correct. Momentum is defined as the product of an object's mass and its velocity, not the mass divided by the velocity. The equation for momentum is p = mv, where p is momentum, m is mass, and v is velocity.
True
Is it true that the law of conservation of engery states that momentum is in a collision
True. When an object speeds up, its velocity increases, and therefore its momentum also increases. Momentum is the product of an object's mass and its velocity, so an increase in velocity results in an increase in momentum.
True. Angular momentum is a measure of how fast something is rotating. By increasing the angular momentum, you can increase the rate at which an object spins.
True.
The NOT operator. E.g., NOT TRUE evaluates to FALSE while NOT FALSE evaluates to TRUE.
A Boolean operator is any operator that returns true or false. False is typically denoted by the integer value 0 while all non-zero values equate to true. The less-than operator (<) is an example of a Boolean operator.
False. Not all objects have momentum. Momentum is a property of moving objects and is defined as the product of an object's mass and velocity. Objects at rest do not have momentum.
The or operator will evaluate to true if either side of the operation is true.The xor operator will evaluate to true only if exactly one side of the operation is true.This means that these two operators will evaluate equally for all cases except when both sides of the operations are true.true or true -> truetrue xor true -> false