
Which of these are the characteristics of the wave function ?
A. must be single-valued
B.
C. must be finite and continuous
D. represents a standing wave
Answer
484.5k+ views
Hint: A wave function is a mathematical expression. It is defined as a mathematical description of the quantum state of an isolated quantum system in quantum physics. The wave function associated with a moving particle is not an observable quantity and does not have any physical meaning. It is a complex quantity and represents the probability density of the possibility of finding an electron in a particular region in a given instant of time.
Complete step by step answer:
A wave function can be obtained by using an imaginary number that is squared to get a real number solution which results in the position of the particle. Some of the properties of the wave function are as follows:
All measurable information about the particle is available in a wave function.
should be continuous and single-valued.
Energy calculations are using the Schrodinger wave equation.
Probability distribution in three dimensions is established using the wave function.
The Square of the wave function gives the probability of finding a particle at a particular place in the given instant of time.
The probability of finding a particle is 1 if it exists.
Looking at all the above properties, we can say that the correct answer is option A.
Note:
The concept of wave function was first introduced by Erwin Schrodinger in the year 1925 with the help of the Schrodinger equation. The Schrodinger equation can be defined as a linear partial differential equation describing the wave function, . Schrodinger equation is:
, it is a time-independent equation.
M is the Mass of the particle
is Laplacian operator
h is Planck constant
E is constant which is equal to the energy level of the system
Complete step by step answer:
A wave function can be obtained by using an imaginary number that is squared to get a real number solution which results in the position of the particle. Some of the properties of the wave function
All measurable information about the particle is available in a wave function.
Energy calculations are using the Schrodinger wave equation.
Probability distribution in three dimensions is established using the wave function.
The Square of the wave function
The probability of finding a particle is 1 if it exists.
Looking at all the above properties, we can say that the correct answer is option A.
Note:
The concept of wave function was first introduced by Erwin Schrodinger in the year 1925 with the help of the Schrodinger equation. The Schrodinger equation can be defined as a linear partial differential equation describing the wave function,
M is the Mass of the particle
h is Planck constant
E is constant which is equal to the energy level of the system
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