One Dimensional Quantum Mechanical Problems
One Dimensional Quantum Mechanical Problems
Boundary condition
- \(\biggl(\frac{\partial \psi}{\partial x}, \frac{\partial \psi}{\partial y}, \frac{\partial...}
One Dimensional Quantum Mechanical Problems
Boundary condition [ Continue ]
- The time independent on-dimensional Schrodinger equation for particle,
$$or,\...}
One Dimensional Quantum Mechanical Problems
Application of Boundary condition
- The moving particle behave as wave and the motion of particle is described by time independ...}
One Dimensional Quantum Mechanical Problems
Reflection coefficient
- coefficient (R) Or Probability of reflection is denoted by R.
$$R=\biggl| \fr...}
One Dimensional Quantum Mechanical Problems
Potential step
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solution of one dimensional time independent Schrodinger equation.
$$\frac{-\hba...}
One Dimensional Quantum Mechanical Problems
Penetration depth and potential barrier.
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In Quantum Mechanics there is 100% chance the particle is reflected but through differe...}
One Dimensional Quantum Mechanical Problems
Potential depth and potential barrier [ continue ]
-
In Quantum Mechanics there is 100% chance the particle is reflected but through differe...}
One Dimensional Quantum Mechanical Problems
Reflection coefficient
- $$B= \frac c2 \biggl[1-\frac{k_2}{k_1}\biggr]+\frac D2 \biggl[1+\frac{k_2}{k_1}\biggr]\dots...}
One Dimensional Quantum Mechanical Problems
Tunneling Effect
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The Quantum Mechanical behaviour of particle for finite value of \(V_0>E\) is obtain...}
One Dimensional Quantum Mechanical Problems
Tunneling effect [ continue ]
- $$\therefore\;= 16\frac{E}{V_0}\biggl(1- \frac{E}{V_0}\biggr)e^{-2k_2a}$$
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$$T=...}