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Is $e^{ikx}$ an acceptable wave function?

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Quantum Mechanics
Basic Quantum Mechanics
  1. Origin of Quantum Physics
  2. Wave function
  3. Collapse of Wave Function
  4. Physically Accepted Wave function
  5. Normalization Explained
  6. Method of Normalization
  7. Orthogonality & Orthonormality
  8. Hilbert Space
  9. Quantization Rules
  10. Operator Formalism
  11. Commutator Bracket
  12. Linear Operator
  13. Hermitian Operator
  14. Projection Operator
  15. Unitary Operator
  16. Parity Operator
  17. Expectation Value
  18. Schrodinger Equation
  19. Wave-Particle Duality Using Schrodinger Equation
  20. Superposition of States
  21. Various Representations of Wave Function
  22. Probability Current Density
  23. Uncertainty in Operators
  24. Shortcut for Calculating Momentum Expectation Value
Advanced Quantum Mechanics
  1. Einstein Summation Convention

Problems | Quantum Mechanics

Problem – Is $e^{ikx}$ an acceptable wave function?

Solution –

Mathematically only, it doesn’t represent a physical state, because it is not finite at $\infty$. 

i.e. it is not a square-integrable function.

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