+
    i                         ^ RI HtHt ^ RIHtHt ^ RIHt ^ RIH	t	 ^ RI
Ht ^ RIHt ^ RIHtHtHt ^ RIHt R	 tRR
 ltRR ltRR ltR# )    )wavefunctionenergy)Ipi)exp)sqrt)	integrate)simplify)mxr)hbarc                  4   ^ ^\        ^\        ,          4      ,          ^^\        ^\        ,          4      ,          \        \        \        ,          4      ,          ^^\        ^\        ,          4      ,          \        ^\        ,          \        ,          4      ,          ^^\        ^\        ,          4      ,          \        ^\        ,          \        ,          4      ,          /p V  F0  p\        \        V\        4      W,          ,
          4      ^ 8X  d   K0  Q h	  R# )r   N)r   r   r   r   r   r
   r   )Psins     \/var/www/html/photoedit/myenv/lib/python3.14/site-packages/sympy/physics/tests/test_pring.pytest_wavefunctionr      s    	Ad1r6lN	Ad1r6lNc!a%j(	Ad1r6lNc!a%!)n,	Ad1r6lNc!a%!)n,	C Q*SV34999     c                     \        V ^,           4       FL  p\        \        V\        4      \        V) \        4      ,          \        ^ ^\        ,          34      ^8X  d   KL  Q h	  R#    Nranger	   r   r   r   r   is   & r   	test_normr      sV    1q5\Aqb!!44q!QVnFIJK 	K K r   c           	      
   \        V ^,           4       Fl  p\        V^,           V ^,           4       FK  p\        \        V\        4      \        V\        4      ,          \        ^ ^\        ,          34      ^ 8X  d   KK  Q h	  Kn  	  R# r   r   )r   r   js   &  r   test_orthogonalityr      sl    1q5\qsAaCAQ"\!Q%77!QBILMN N N ! r   c                 
   \        V ^,           4       Fl  p\        \        V\        \        4      V^,          \
        ^,          ,          ^\        ,          \        ^,          ,          ,          ,
          4      ^ 8X  d   Kl  Q h	  R# r   )r   r
   r   r   r   r   r   s   & r   test_energyr!   %   s_    1Q3Z1aO1tQw1q51a4<@ACFGH 	H H r   N)r   )sympy.physics.pringr   r   sympy.core.numbersr   r   &sympy.functions.elementary.exponentialr   (sympy.functions.elementary.miscellaneousr   sympy.integrals.integralsr	   sympy.simplify.simplifyr
   	sympy.abcr   r   r   sympy.physics.quantum.constantsr   r   r   r   r!    r   r   <module>r+      s7    4 & 6 9 / ,   0:KNHr   